---
_id: '238'
abstract:
- lang: eng
text: For given positive integers a, b, q we investigate the density of solutions
(x, y) ∈ Z2 to congruences ax + by2 ≡ 0 mod q.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Stephan
full_name: Baier, Stephan
last_name: Baier
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: Baier S, Browning TD. Inhomogeneous quadratic congruences. Functiones et
Approximatio, Commentarii Mathematici. 2012;47(2):267-286. doi:10.7169/facm/2012.47.2.9
apa: Baier, S., & Browning, T. D. (2012). Inhomogeneous quadratic congruences.
Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University
Press. https://doi.org/10.7169/facm/2012.47.2.9
chicago: Baier, Stephan, and Timothy D Browning. “Inhomogeneous Quadratic Congruences.”
Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University
Press, 2012. https://doi.org/10.7169/facm/2012.47.2.9.
ieee: S. Baier and T. D. Browning, “Inhomogeneous quadratic congruences,” Functiones
et Approximatio, Commentarii Mathematici, vol. 47, no. 2. Adam Mickiewicz
University Press, pp. 267–286, 2012.
ista: Baier S, Browning TD. 2012. Inhomogeneous quadratic congruences. Functiones
et Approximatio, Commentarii Mathematici. 47(2), 267–286.
mla: Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Quadratic Congruences.”
Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2, Adam
Mickiewicz University Press, 2012, pp. 267–86, doi:10.7169/facm/2012.47.2.9.
short: S. Baier, T.D. Browning, Functiones et Approximatio, Commentarii Mathematici
47 (2012) 267–286.
date_created: 2018-12-11T11:45:22Z
date_published: 2012-12-20T00:00:00Z
date_updated: 2021-01-12T06:57:08Z
day: '20'
doi: 10.7169/facm/2012.47.2.9
extern: 1
intvolume: ' 47'
issue: '2'
month: '12'
page: 267 - 286
publication: Functiones et Approximatio, Commentarii Mathematici
publication_status: published
publisher: Adam Mickiewicz University Press
publist_id: '7666'
quality_controlled: 0
status: public
title: Inhomogeneous quadratic congruences
type: journal_article
volume: 47
year: '2012'
...
---
_id: '2399'
abstract:
- lang: eng
text: |
Bose–Einstein condensation (BEC) in cold atomic gases was first achieved experimentally in 1995 [1, 6]. After initial failed attempts with spin-polarized atomic hydrogen, the first successful demonstrations of this phenomenon used gases of rubidium and sodium atoms, respectively. Since then there has been a surge of activity in this field, with ingenious experiments putting forth more and more astonishing results about the behavior of matter at very cold temperatures.
alternative_title:
- Lecture Notes in Mathematics
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Seiringer R. Cold quantum gases and bose einstein condensation. In: Rivasseau
V, Seiringer R, Solovej J, Spencer T, eds. Quantum Many Body Systems. Vol
2051. Springer; 2012:55-92. doi:10.1007/978-3-642-29511-9_2'
apa: Seiringer, R. (2012). Cold quantum gases and bose einstein condensation. In
V. Rivasseau, R. Seiringer, J. Solovej, & T. Spencer (Eds.), Quantum Many
Body Systems (Vol. 2051, pp. 55–92). Springer. https://doi.org/10.1007/978-3-642-29511-9_2
chicago: Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.”
In Quantum Many Body Systems, edited by Vincent Rivasseau, Robert Seiringer,
Jan Solovej, and Thomas Spencer, 2051:55–92. Springer, 2012. https://doi.org/10.1007/978-3-642-29511-9_2.
ieee: R. Seiringer, “Cold quantum gases and bose einstein condensation,” in Quantum
Many Body Systems, vol. 2051, V. Rivasseau, R. Seiringer, J. Solovej, and
T. Spencer, Eds. Springer, 2012, pp. 55–92.
ista: 'Seiringer R. 2012.Cold quantum gases and bose einstein condensation. In:
Quantum Many Body Systems. Lecture Notes in Mathematics, vol. 2051, 55–92.'
mla: Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” Quantum
Many Body Systems, edited by Vincent Rivasseau et al., vol. 2051, Springer,
2012, pp. 55–92, doi:10.1007/978-3-642-29511-9_2.
short: R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.),
Quantum Many Body Systems, Springer, 2012, pp. 55–92.
date_created: 2018-12-11T11:57:26Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:14Z
day: '01'
doi: 10.1007/978-3-642-29511-9_2
editor:
- first_name: Vincent
full_name: Rivasseau, Vincent
last_name: Rivasseau
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
- first_name: Thomas
full_name: Spencer, Thomas
last_name: Spencer
extern: 1
intvolume: ' 2051'
month: '01'
page: 55 - 92
publication: Quantum Many Body Systems
publication_status: published
publisher: Springer
publist_id: '4526'
quality_controlled: 0
status: public
title: Cold quantum gases and bose einstein condensation
type: book_chapter
volume: 2051
year: '2012'
...
---
_id: '2394'
abstract:
- lang: eng
text: We study the BCS gap equation for a Fermi gas with unequal population of spin-up
and spin-down states. For cosh (δ μ/T) ≤ 2, with T the temperature and δμ the
chemical potential difference, the question of existence of non-trivial solutions
can be reduced to spectral properties of a linear operator, similar to the unpolarized
case studied previously in [Frank, R. L., Hainzl, C., Naboko, S., and Seiringer,
R., J., Geom. Anal.17, 559-567 (2007)10.1007/BF02937429; Hainzl, C., Hamza, E.,
Seiringer, R., and Solovej, J. P., Commun., Math. Phys.281, 349-367 (2008)10.1007/s00220-008-0489-2;
and Hainzl, C. and Seiringer, R., Phys. Rev. B77, 184517-110 435 (2008)]10.1103/PhysRevB.77.184517.
For cosh (δ μ/T) > 2 the phase diagram is more complicated, however. We derive
upper and lower bounds for the critical temperature, and study their behavior
in the small coupling limit.
author:
- first_name: Abraham
full_name: Freiji, Abraham
last_name: Freiji
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Freiji A, Hainzl C, Seiringer R. The gap equation for spin-polarized fermions.
Journal of Mathematical Physics. 2012;53(1). doi:10.1063/1.3670747
apa: Freiji, A., Hainzl, C., & Seiringer, R. (2012). The gap equation for spin-polarized
fermions. Journal of Mathematical Physics. American Institute of Physics.
https://doi.org/10.1063/1.3670747
chicago: Freiji, Abraham, Christian Hainzl, and Robert Seiringer. “The Gap Equation
for Spin-Polarized Fermions.” Journal of Mathematical Physics. American
Institute of Physics, 2012. https://doi.org/10.1063/1.3670747.
ieee: A. Freiji, C. Hainzl, and R. Seiringer, “The gap equation for spin-polarized
fermions,” Journal of Mathematical Physics, vol. 53, no. 1. American Institute
of Physics, 2012.
ista: Freiji A, Hainzl C, Seiringer R. 2012. The gap equation for spin-polarized
fermions. Journal of Mathematical Physics. 53(1).
mla: Freiji, Abraham, et al. “The Gap Equation for Spin-Polarized Fermions.” Journal
of Mathematical Physics, vol. 53, no. 1, American Institute of Physics, 2012,
doi:10.1063/1.3670747.
short: A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).
date_created: 2018-12-11T11:57:25Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:13Z
day: '01'
doi: 10.1063/1.3670747
extern: 1
intvolume: ' 53'
issue: '1'
month: '01'
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '4532'
quality_controlled: 0
status: public
title: The gap equation for spin-polarized fermions
type: journal_article
volume: 53
year: '2012'
...
---
_id: '2395'
abstract:
- lang: eng
text: 'We give the first rigorous derivation of the celebrated Ginzburg-Landau (GL)
theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close
to the critical temperature, GL arises as an effective theory on the macroscopic
scale. The relevant scaling limit is semiclassical in nature, and semiclassical
analysis, with minimal regularity assumptions, plays an important part in our
proof. '
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
citation:
ama: Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of Ginzburg-Landau
theory. Journal of the American Mathematical Society. 2012;25(3):667-713.
doi:10.1090/S0894-0347-2012-00735-8
apa: Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2012). Microscopic
derivation of Ginzburg-Landau theory. Journal of the American Mathematical
Society. American Mathematical Society. https://doi.org/10.1090/S0894-0347-2012-00735-8
chicago: Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic
Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical
Society. American Mathematical Society, 2012. https://doi.org/10.1090/S0894-0347-2012-00735-8.
ieee: R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation
of Ginzburg-Landau theory,” Journal of the American Mathematical Society,
vol. 25, no. 3. American Mathematical Society, pp. 667–713, 2012.
ista: Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of
Ginzburg-Landau theory. Journal of the American Mathematical Society. 25(3), 667–713.
mla: Frank, Rupert, et al. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal
of the American Mathematical Society, vol. 25, no. 3, American Mathematical
Society, 2012, pp. 667–713, doi:10.1090/S0894-0347-2012-00735-8.
short: R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical
Society 25 (2012) 667–713.
date_created: 2018-12-11T11:57:25Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:13Z
day: '01'
doi: 10.1090/S0894-0347-2012-00735-8
extern: 1
intvolume: ' 25'
issue: '3'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1102.4001
month: '01'
oa: 1
page: 667 - 713
publication: Journal of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '4531'
quality_controlled: 0
status: public
title: Microscopic derivation of Ginzburg-Landau theory
type: journal_article
volume: 25
year: '2012'
...
---
_id: '2396'
abstract:
- lang: eng
text: A positive temperature analogue of the scattering length of a potential V
can be defined via integrating the difference of the heat kernels of -Δ and, with
Δ the Laplacian. An upper bound on this quantity is a crucial input in the derivation
of a bound on the critical temperature of a dilute Bose gas (Seiringer and Ueltschi
in Phys Rev B 80:014502, 2009). In (Seiringer and Ueltschi in Phys Rev B 80:014502,
2009), a bound was given in the case of finite range potentials and sufficiently
low temperature. In this paper, we improve the bound and extend it to potentials
of infinite range.
author:
- first_name: Benjamin
full_name: Landon, Benjamin
last_name: Landon
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Landon B, Seiringer R. The scattering length at positive temperature. Letters
in Mathematical Physics. 2012;100(3):237-243. doi:10.1007/s11005-012-0566-5
apa: Landon, B., & Seiringer, R. (2012). The scattering length at positive temperature.
Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-012-0566-5
chicago: Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive
Temperature.” Letters in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s11005-012-0566-5.
ieee: B. Landon and R. Seiringer, “The scattering length at positive temperature,”
Letters in Mathematical Physics, vol. 100, no. 3. Springer, pp. 237–243,
2012.
ista: Landon B, Seiringer R. 2012. The scattering length at positive temperature.
Letters in Mathematical Physics. 100(3), 237–243.
mla: Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive
Temperature.” Letters in Mathematical Physics, vol. 100, no. 3, Springer,
2012, pp. 237–43, doi:10.1007/s11005-012-0566-5.
short: B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.
date_created: 2018-12-11T11:57:25Z
date_published: 2012-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:13Z
day: '01'
doi: 10.1007/s11005-012-0566-5
extern: 1
intvolume: ' 100'
issue: '3'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1111.1683
month: '06'
oa: 1
page: 237 - 243
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4529'
quality_controlled: 0
status: public
title: The scattering length at positive temperature
type: journal_article
volume: 100
year: '2012'
...
---
_id: '2398'
abstract:
- lang: eng
text: We extend the mathematical theory of quantum hypothesis testing to the general
W*-algebraic setting and explore its relation with recent developments in non-equilibrium
quantum statistical mechanics. In particular, we relate the large deviation principle
for the full counting statistics of entropy flow to quantum hypothesis testing
of the arrow of time.
author:
- first_name: Vojkan
full_name: Jakšić, Vojkan
last_name: Jakšić
- first_name: Yoshiko
full_name: Ogata, Yoshiko
last_name: Ogata
- first_name: Claude
full_name: Pillet, Claude A
last_name: Pillet
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Jakšić V, Ogata Y, Pillet C, Seiringer R. Quantum hypothesis testing and non-equilibrium
statistical mechanics. Reviews in Mathematical Physics. 2012;24(6). doi:10.1142/S0129055X12300026
apa: Jakšić, V., Ogata, Y., Pillet, C., & Seiringer, R. (2012). Quantum hypothesis
testing and non-equilibrium statistical mechanics. Reviews in Mathematical
Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X12300026
chicago: Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum
Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical
Physics. World Scientific Publishing, 2012. https://doi.org/10.1142/S0129055X12300026.
ieee: V. Jakšić, Y. Ogata, C. Pillet, and R. Seiringer, “Quantum hypothesis testing
and non-equilibrium statistical mechanics,” Reviews in Mathematical Physics,
vol. 24, no. 6. World Scientific Publishing, 2012.
ista: Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing
and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6).
mla: Jakšić, Vojkan, et al. “Quantum Hypothesis Testing and Non-Equilibrium Statistical
Mechanics.” Reviews in Mathematical Physics, vol. 24, no. 6, World Scientific
Publishing, 2012, doi:10.1142/S0129055X12300026.
short: V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics
24 (2012).
date_created: 2018-12-11T11:57:26Z
date_published: 2012-07-01T00:00:00Z
date_updated: 2020-07-14T12:45:40Z
day: '01'
doi: 10.1142/S0129055X12300026
extern: 1
intvolume: ' 24'
issue: '6'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1109.3804
month: '07'
oa: 1
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '4528'
quality_controlled: 0
status: public
title: Quantum hypothesis testing and non-equilibrium statistical mechanics
type: review
volume: 24
year: '2012'
...
---
_id: '2397'
abstract:
- lang: eng
text: We consider the low-density limit of a Fermi gas in the BCS approximation.
We show that if the interaction potential allows for a two-particle bound state,
the system at zero temperature is well approximated by the Gross-Pitaevskii functional,
describing a Bose-Einstein condensate of fermion pairs.
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Hainzl C, Seiringer R. Low density limit of BCS theory and Bose-Einstein condensation
of Fermion pairs. Letters in Mathematical Physics. 2012;100(2):119-138.
doi:10.1007/s11005-011-0535-4
apa: Hainzl, C., & Seiringer, R. (2012). Low density limit of BCS theory and
Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics.
Springer. https://doi.org/10.1007/s11005-011-0535-4
chicago: Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory
and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics.
Springer, 2012. https://doi.org/10.1007/s11005-011-0535-4.
ieee: C. Hainzl and R. Seiringer, “Low density limit of BCS theory and Bose-Einstein
condensation of Fermion pairs,” Letters in Mathematical Physics, vol. 100,
no. 2. Springer, pp. 119–138, 2012.
ista: Hainzl C, Seiringer R. 2012. Low density limit of BCS theory and Bose-Einstein
condensation of Fermion pairs. Letters in Mathematical Physics. 100(2), 119–138.
mla: Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and
Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics,
vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:10.1007/s11005-011-0535-4.
short: C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
date_created: 2018-12-11T11:57:25Z
date_published: 2012-05-01T00:00:00Z
date_updated: 2021-01-12T06:57:14Z
day: '01'
doi: 10.1007/s11005-011-0535-4
extern: 1
intvolume: ' 100'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1105.1100
month: '05'
oa: 1
page: 119 - 138
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4530'
quality_controlled: 0
status: public
title: Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs
type: journal_article
volume: 100
year: '2012'
...
---
_id: '240'
abstract:
- lang: eng
text: We investigate the frequency of positive squareful numbers x, y, z≤B for which
x+y=z and present a conjecture concerning its asymptotic behavior.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: K Van
full_name: Valckenborgh, K Van
last_name: Valckenborgh
citation:
ama: Browning TD, Valckenborgh KV. Sums of three squareful numbers. Experimental
Mathematics. 2012;21(2):204-211. doi:10.1080/10586458.2011.605733
apa: Browning, T. D., & Valckenborgh, K. V. (2012). Sums of three squareful
numbers. Experimental Mathematics. Taylor & Francis. https://doi.org/10.1080/10586458.2011.605733
chicago: Browning, Timothy D, and K Van Valckenborgh. “Sums of Three Squareful Numbers.”
Experimental Mathematics. Taylor & Francis, 2012. https://doi.org/10.1080/10586458.2011.605733.
ieee: T. D. Browning and K. V. Valckenborgh, “Sums of three squareful numbers,”
Experimental Mathematics, vol. 21, no. 2. Taylor & Francis, pp. 204–211,
2012.
ista: Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental
Mathematics. 21(2), 204–211.
mla: Browning, Timothy D., and K. Van Valckenborgh. “Sums of Three Squareful Numbers.”
Experimental Mathematics, vol. 21, no. 2, Taylor & Francis, 2012, pp.
204–11, doi:10.1080/10586458.2011.605733.
short: T.D. Browning, K.V. Valckenborgh, Experimental Mathematics 21 (2012) 204–211.
date_created: 2018-12-11T11:45:23Z
date_published: 2012-05-23T00:00:00Z
date_updated: 2021-01-12T06:57:15Z
day: '23'
doi: 10.1080/10586458.2011.605733
extern: 1
intvolume: ' 21'
issue: '2'
month: '05'
page: 204 - 211
publication: Experimental Mathematics
publication_status: published
publisher: Taylor & Francis
publist_id: '7664'
quality_controlled: 0
status: public
title: Sums of three squareful numbers
type: journal_article
volume: 21
year: '2012'
...
---
_id: '2400'
abstract:
- lang: eng
text: If the polaron coupling constant α is large enough, bipolarons or multi-polarons
will form. When passing through the critical α c from above, does the radius of
the system simply get arbitrarily large or does it reach a maximum and then explode?
We prove that it is always the latter. We also prove the analogous statement for
the Pekar-Tomasevich (PT) approximation to the energy, in which case there is
a solution to the PT equation at α c. Similarly, we show that the same phenomenon
occurs for atoms, e. g., helium, at the critical value of the nuclear charge.
Our proofs rely only on energy estimates, not on a detailed analysis of the Schrödinger
equation, and are very general. They use the fact that the Coulomb repulsion decays
like 1/r, while 'uncertainty principle' localization energies decay more rapidly,
as 1/r 2.
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Lieb É, Seiringer R. Binding of polarons and atoms at threshold. Communications
in Mathematical Physics. 2012;313(2):405-424. doi:10.1007/s00220-012-1436-9
apa: Frank, R., Lieb, É., & Seiringer, R. (2012). Binding of polarons and atoms
at threshold. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-012-1436-9
chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons
and Atoms at Threshold.” Communications in Mathematical Physics. Springer,
2012. https://doi.org/10.1007/s00220-012-1436-9.
ieee: R. Frank, É. Lieb, and R. Seiringer, “Binding of polarons and atoms at threshold,”
Communications in Mathematical Physics, vol. 313, no. 2. Springer, pp.
405–424, 2012.
ista: Frank R, Lieb É, Seiringer R. 2012. Binding of polarons and atoms at threshold.
Communications in Mathematical Physics. 313(2), 405–424.
mla: Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” Communications
in Mathematical Physics, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:10.1007/s00220-012-1436-9.
short: R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313
(2012) 405–424.
date_created: 2018-12-11T11:57:27Z
date_published: 2012-07-01T00:00:00Z
date_updated: 2021-01-12T06:57:15Z
day: '01'
doi: 10.1007/s00220-012-1436-9
extern: 1
intvolume: ' 313'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1106.0729
month: '07'
oa: 1
page: 405 - 424
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4527'
quality_controlled: 0
status: public
title: Binding of polarons and atoms at threshold
type: journal_article
volume: 313
year: '2012'
...
---
_id: '2403'
abstract:
- lang: eng
text: We study the effects of random scatterers on the ground state of the one-dimensional
Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii
regime. We prove that Bose-Einstein condensation survives even a strong random
potential with a high density of scatterers. The character of the wavefunction
of the condensate, however, depends in an essential way on the interplay between
randomness and the strength of the two-body interaction. For low density of scatterers
and strong interactions the wavefunction extends over the whole interval. A high
density of scatterers and weak interactions, on the other hand, lead to localization
of the wavefunction in a fragmented subset of the interval.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
- first_name: Valentin
full_name: Zagrebnov, Valentin A
last_name: Zagrebnov
citation:
ama: Seiringer R, Yngvason J, Zagrebnov V. Disordered Bose-Einstein condensates
with interaction in one dimension. Journal of Statistical Mechanics Theory
and Experiment. 2012;2012(11). doi:10.1088/1742-5468/2012/11/P11007
apa: Seiringer, R., Yngvason, J., & Zagrebnov, V. (2012). Disordered Bose-Einstein
condensates with interaction in one dimension. Journal of Statistical Mechanics
Theory and Experiment. IOP Publishing Ltd. https://doi.org/10.1088/1742-5468/2012/11/P11007
chicago: Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered
Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical
Mechanics Theory and Experiment. IOP Publishing Ltd., 2012. https://doi.org/10.1088/1742-5468/2012/11/P11007.
ieee: R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates
with interaction in one dimension,” Journal of Statistical Mechanics Theory
and Experiment, vol. 2012, no. 11. IOP Publishing Ltd., 2012.
ista: Seiringer R, Yngvason J, Zagrebnov V. 2012. Disordered Bose-Einstein condensates
with interaction in one dimension. Journal of Statistical Mechanics Theory and
Experiment. 2012(11).
mla: Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction
in One Dimension.” Journal of Statistical Mechanics Theory and Experiment,
vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:10.1088/1742-5468/2012/11/P11007.
short: R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics
Theory and Experiment 2012 (2012).
date_created: 2018-12-11T11:57:28Z
date_published: 2012-11-01T00:00:00Z
date_updated: 2021-01-12T06:57:16Z
day: '01'
doi: 10.1088/1742-5468/2012/11/P11007
extern: 1
intvolume: ' 2012'
issue: '11'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1207.7054
month: '11'
oa: 1
publication: Journal of Statistical Mechanics Theory and Experiment
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4523'
quality_controlled: 0
status: public
title: Disordered Bose-Einstein condensates with interaction in one dimension
type: journal_article
volume: 2012
year: '2012'
...
---
_id: '2402'
abstract:
- lang: eng
text: We consider a model of quantum-mechanical particles interacting via point
interactions of infinite scattering length. In the case of fermions we prove a
Lieb-Thirring inequality for the energy, i.e., we show that the energy is bounded
from below by a constant times the integral of the particle density to the power.
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Seiringer R. Lieb-Thirring inequality for a model of particles with
point interactions. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.3697416
apa: Frank, R., & Seiringer, R. (2012). Lieb-Thirring inequality for a model
of particles with point interactions. Journal of Mathematical Physics.
American Institute of Physics. https://doi.org/10.1063/1.3697416
chicago: Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model
of Particles with Point Interactions.” Journal of Mathematical Physics.
American Institute of Physics, 2012. https://doi.org/10.1063/1.3697416.
ieee: R. Frank and R. Seiringer, “Lieb-Thirring inequality for a model of particles
with point interactions,” Journal of Mathematical Physics, vol. 53, no.
9. American Institute of Physics, 2012.
ista: Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles
with point interactions. Journal of Mathematical Physics. 53(9).
mla: Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model
of Particles with Point Interactions.” Journal of Mathematical Physics,
vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.3697416.
short: R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
date_created: 2018-12-11T11:57:27Z
date_published: 2012-09-28T00:00:00Z
date_updated: 2021-01-12T06:57:16Z
day: '28'
doi: 10.1063/1.3697416
extern: 1
intvolume: ' 53'
issue: '9'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1112.5617
month: '09'
oa: 1
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '4524'
quality_controlled: 0
status: public
title: Lieb-Thirring inequality for a model of particles with point interactions
type: journal_article
volume: 53
year: '2012'
...
---
_id: '2401'
abstract:
- lang: eng
text: We find further implications of the BMV conjecture, which states that for
hermitian matrices B≥0 and A, the function λ {mapping} Tr exp(A - λB) is the Laplace
transform of a positive measure supported on [0,∞].
author:
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lieb É, Seiringer R. Further implications of the Bessis-Moussa-Villani conjecture.
Journal of Statistical Physics. 2012;149(1):86-91. doi:10.1007/s10955-012-0585-8
apa: Lieb, É., & Seiringer, R. (2012). Further implications of the Bessis-Moussa-Villani
conjecture. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-012-0585-8
chicago: Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani
Conjecture.” Journal of Statistical Physics. Springer, 2012. https://doi.org/10.1007/s10955-012-0585-8.
ieee: É. Lieb and R. Seiringer, “Further implications of the Bessis-Moussa-Villani
conjecture,” Journal of Statistical Physics, vol. 149, no. 1. Springer,
pp. 86–91, 2012.
ista: Lieb É, Seiringer R. 2012. Further implications of the Bessis-Moussa-Villani
conjecture. Journal of Statistical Physics. 149(1), 86–91.
mla: Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani
Conjecture.” Journal of Statistical Physics, vol. 149, no. 1, Springer,
2012, pp. 86–91, doi:10.1007/s10955-012-0585-8.
short: É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.
date_created: 2018-12-11T11:57:27Z
date_published: 2012-10-01T00:00:00Z
date_updated: 2021-01-12T06:57:16Z
day: '01'
doi: 10.1007/s10955-012-0585-8
extern: 1
intvolume: ' 149'
issue: '1'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1206.0460
month: '10'
oa: 1
page: 86 - 91
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '4525'
quality_controlled: 0
status: public
title: Further implications of the Bessis-Moussa-Villani conjecture
type: journal_article
volume: 149
year: '2012'
...
---
_id: '2411'
abstract:
- lang: eng
text: The kingdom of fungi provides model organisms for biotechnology, cell biology,
genetics, and life sciences in general. Only when their phylogenetic relationships
are stably resolved, can individual results from fungal research be integrated
into a holistic picture of biology. However, and despite recent progress, many
deep relationships within the fungi remain unclear. Here, we present the first
phylogenomic study of an entire eukaryotic kingdom that uses a consistency criterion
to strengthen phylogenetic conclusions. We reason that branches (splits) recovered
with independent data and different tree reconstruction methods are likely to
reflect true evolutionary relationships. Two complementary phylogenomic data sets
based on 99 fungal genomes and 109 fungal expressed sequence tag (EST) sets analyzed
with four different tree reconstruction methods shed light from different angles
on the fungal tree of life. Eleven additional data sets address specifically the
phylogenetic position of Blastocladiomycota, Ustilaginomycotina, and Dothideomycetes,
respectively. The combined evidence from the resulting trees supports the deep-level
stability of the fungal groups toward a comprehensive natural system of the fungi.
In addition, our analysis reveals methodologically interesting aspects. Enrichment
for EST encoded data-a common practice in phylogenomic analyses-introduces a strong
bias toward slowly evolving and functionally correlated genes. Consequently, the
generalization of phylogenomic data sets as collections of randomly selected genes
cannot be taken for granted. A thorough characterization of the data to assess
possible influences on the tree reconstruction should therefore become a standard
in phylogenomic analyses.
author:
- first_name: Ingo
full_name: Ebersberger, Ingo
last_name: Ebersberger
- first_name: Ricardo
full_name: De Matos Simoes, Ricardo
last_name: De Matos Simoes
- first_name: Anne
full_name: Kupczok, Anne
id: 2BB22BC2-F248-11E8-B48F-1D18A9856A87
last_name: Kupczok
- first_name: Matthias
full_name: Gube, Matthias
last_name: Gube
- first_name: Erika
full_name: Kothe, Erika
last_name: Kothe
- first_name: Kerstin
full_name: Voigt, Kerstin
last_name: Voigt
- first_name: Arndt
full_name: Von Haeseler, Arndt
last_name: Von Haeseler
citation:
ama: Ebersberger I, De Matos Simoes R, Kupczok A, et al. A consistent phylogenetic
backbone for the fungi. Molecular Biology and Evolution. 2012;29(5):1319-1334.
doi:10.1093/molbev/msr285
apa: Ebersberger, I., De Matos Simoes, R., Kupczok, A., Gube, M., Kothe, E., Voigt,
K., & Von Haeseler, A. (2012). A consistent phylogenetic backbone for the
fungi. Molecular Biology and Evolution. Oxford University Press. https://doi.org/10.1093/molbev/msr285
chicago: Ebersberger, Ingo, Ricardo De Matos Simoes, Anne Kupczok, Matthias Gube,
Erika Kothe, Kerstin Voigt, and Arndt Von Haeseler. “A Consistent Phylogenetic
Backbone for the Fungi.” Molecular Biology and Evolution. Oxford University
Press, 2012. https://doi.org/10.1093/molbev/msr285.
ieee: I. Ebersberger et al., “A consistent phylogenetic backbone for the
fungi,” Molecular Biology and Evolution, vol. 29, no. 5. Oxford University
Press, pp. 1319–1334, 2012.
ista: Ebersberger I, De Matos Simoes R, Kupczok A, Gube M, Kothe E, Voigt K, Von
Haeseler A. 2012. A consistent phylogenetic backbone for the fungi. Molecular
Biology and Evolution. 29(5), 1319–1334.
mla: Ebersberger, Ingo, et al. “A Consistent Phylogenetic Backbone for the Fungi.”
Molecular Biology and Evolution, vol. 29, no. 5, Oxford University Press,
2012, pp. 1319–34, doi:10.1093/molbev/msr285.
short: I. Ebersberger, R. De Matos Simoes, A. Kupczok, M. Gube, E. Kothe, K. Voigt,
A. Von Haeseler, Molecular Biology and Evolution 29 (2012) 1319–1334.
date_created: 2018-12-11T11:57:30Z
date_published: 2012-05-01T00:00:00Z
date_updated: 2021-01-12T06:57:19Z
day: '01'
ddc:
- '570'
- '576'
department:
- _id: JoBo
doi: 10.1093/molbev/msr285
file:
- access_level: open_access
checksum: d565dcac27d1736c0c378ea6fcf22d69
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:13:30Z
date_updated: 2020-07-14T12:45:40Z
file_id: '5013'
file_name: IST-2015-384-v1+1_Mol_Biol_Evol-2012-Ebersberger-1319-34.pdf
file_size: 754922
relation: main_file
file_date_updated: 2020-07-14T12:45:40Z
has_accepted_license: '1'
intvolume: ' 29'
issue: '5'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 1319 - 1334
publication: Molecular Biology and Evolution
publication_status: published
publisher: Oxford University Press
publist_id: '4515'
pubrep_id: '384'
quality_controlled: '1'
scopus_import: 1
status: public
title: A consistent phylogenetic backbone for the fungi
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 29
year: '2012'
...
---
_id: '241'
abstract:
- lang: eng
text: The representation of integral binary forms as sums of two squares is discussed
and applied to establish the Manin conjecture for certain Châtelet surfaces over
ℚ.
author:
- first_name: Régis
full_name: de la Bretèche, Régis
last_name: De La Bretèche
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: De La Bretèche R, Browning TD. Binary forms as sums of two squares and Châtelet
surfaces. Israel Journal of Mathematics. 2012;191(2):973-1012. doi:10.1007/s11856-012-0019-y
apa: De La Bretèche, R., & Browning, T. D. (2012). Binary forms as sums of two
squares and Châtelet surfaces. Israel Journal of Mathematics. Springer.
https://doi.org/10.1007/s11856-012-0019-y
chicago: De La Bretèche, Régis, and Timothy D Browning. “Binary Forms as Sums of
Two Squares and Châtelet Surfaces.” Israel Journal of Mathematics. Springer,
2012. https://doi.org/10.1007/s11856-012-0019-y.
ieee: R. De La Bretèche and T. D. Browning, “Binary forms as sums of two squares
and Châtelet surfaces,” Israel Journal of Mathematics, vol. 191, no. 2.
Springer, pp. 973–1012, 2012.
ista: De La Bretèche R, Browning TD. 2012. Binary forms as sums of two squares and
Châtelet surfaces. Israel Journal of Mathematics. 191(2), 973–1012.
mla: De La Bretèche, Régis, and Timothy D. Browning. “Binary Forms as Sums of Two
Squares and Châtelet Surfaces.” Israel Journal of Mathematics, vol. 191,
no. 2, Springer, 2012, pp. 973–1012, doi:10.1007/s11856-012-0019-y.
short: R. De La Bretèche, T.D. Browning, Israel Journal of Mathematics 191 (2012)
973–1012.
date_created: 2018-12-11T11:45:23Z
date_published: 2012-02-28T00:00:00Z
date_updated: 2021-01-12T06:57:19Z
day: '28'
doi: 10.1007/s11856-012-0019-y
extern: 1
intvolume: ' 191'
issue: '2'
month: '02'
page: 973 - 1012
publication: Israel Journal of Mathematics
publication_status: published
publisher: Springer
publist_id: '7663'
quality_controlled: 0
status: public
title: Binary forms as sums of two squares and Châtelet surfaces
type: journal_article
volume: 191
year: '2012'
...
---
_id: '242'
abstract:
- lang: eng
text: We investigate the first and second moments of shifted convolutions of the
generalized divisor function d 3(n).
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Stephan
full_name: Baier, Stephan
last_name: Baier
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Gihan
full_name: Marasingha, Gihan
last_name: Marasingha
- first_name: Liangyi
full_name: Zhao, Liangyi
last_name: Zhao
citation:
ama: Baier S, Browning TD, Marasingha G, Zhao L. Averages of shifted convolutions
of d3 (n). Proceedings of the Edinburgh Mathematical Society. 2012;55(3):551-576.
doi:10.1017/S001309151100037X
apa: Baier, S., Browning, T. D., Marasingha, G., & Zhao, L. (2012). Averages
of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical
Society. Cambridge University Press. https://doi.org/10.1017/S001309151100037X
chicago: Baier, Stephan, Timothy D Browning, Gihan Marasingha, and Liangyi Zhao.
“Averages of Shifted Convolutions of D3 (N).” Proceedings of the Edinburgh
Mathematical Society. Cambridge University Press, 2012. https://doi.org/10.1017/S001309151100037X.
ieee: S. Baier, T. D. Browning, G. Marasingha, and L. Zhao, “Averages of shifted
convolutions of d3 (n),” Proceedings of the Edinburgh Mathematical Society,
vol. 55, no. 3. Cambridge University Press, pp. 551–576, 2012.
ista: Baier S, Browning TD, Marasingha G, Zhao L. 2012. Averages of shifted convolutions
of d3 (n). Proceedings of the Edinburgh Mathematical Society. 55(3), 551–576.
mla: Baier, Stephan, et al. “Averages of Shifted Convolutions of D3 (N).” Proceedings
of the Edinburgh Mathematical Society, vol. 55, no. 3, Cambridge University
Press, 2012, pp. 551–76, doi:10.1017/S001309151100037X.
short: S. Baier, T.D. Browning, G. Marasingha, L. Zhao, Proceedings of the Edinburgh
Mathematical Society 55 (2012) 551–576.
date_created: 2018-12-11T11:45:23Z
date_published: 2012-10-01T00:00:00Z
date_updated: 2021-01-12T06:57:23Z
day: '01'
doi: 10.1017/S001309151100037X
extern: 1
intvolume: ' 55'
issue: '3'
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1101.5464
month: '10'
oa: 1
page: 551 - 576
publication: Proceedings of the Edinburgh Mathematical Society
publication_status: published
publisher: Cambridge University Press
publist_id: '7662'
quality_controlled: 0
status: public
title: Averages of shifted convolutions of d3 (n)
type: journal_article
volume: 55
year: '2012'
...
---
_id: '243'
abstract:
- lang: eng
text: Let P(t) ∈ ℚ[t] be an irreducible quadratic polynomial and suppose that K
is a quartic extension of ℚ containing the roots of P(t). Let N K/ℚ(X) be a full
norm form for the extension K/ℚ. We show that the variety P(t) =N K/ℚ(X)≠ 0 satisfies
the Hasse principle and weak approximation. The proof uses analytic methods.
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Roger
full_name: Heath-Brown, Roger
last_name: Heath Brown
citation:
ama: Browning TD, Heath Brown R. Quadratic polynomials represented by norm forms.
Geometric and Functional Analysis. 2012;22(5):1124-1190. doi:10.1007/s00039-012-0168-5
apa: Browning, T. D., & Heath Brown, R. (2012). Quadratic polynomials represented
by norm forms. Geometric and Functional Analysis. Springer Basel. https://doi.org/10.1007/s00039-012-0168-5
chicago: Browning, Timothy D, and Roger Heath Brown. “Quadratic Polynomials Represented
by Norm Forms.” Geometric and Functional Analysis. Springer Basel, 2012.
https://doi.org/10.1007/s00039-012-0168-5.
ieee: T. D. Browning and R. Heath Brown, “Quadratic polynomials represented by norm
forms,” Geometric and Functional Analysis, vol. 22, no. 5. Springer Basel,
pp. 1124–1190, 2012.
ista: Browning TD, Heath Brown R. 2012. Quadratic polynomials represented by norm
forms. Geometric and Functional Analysis. 22(5), 1124–1190.
mla: Browning, Timothy D., and Roger Heath Brown. “Quadratic Polynomials Represented
by Norm Forms.” Geometric and Functional Analysis, vol. 22, no. 5, Springer
Basel, 2012, pp. 1124–90, doi:10.1007/s00039-012-0168-5.
short: T.D. Browning, R. Heath Brown, Geometric and Functional Analysis 22 (2012)
1124–1190.
date_created: 2018-12-11T11:45:24Z
date_published: 2012-08-25T00:00:00Z
date_updated: 2021-01-12T06:57:26Z
day: '25'
doi: 10.1007/s00039-012-0168-5
extern: 1
intvolume: ' 22'
issue: '5'
month: '08'
page: 1124 - 1190
publication: Geometric and Functional Analysis
publication_status: published
publisher: Springer Basel
publist_id: '7661'
quality_controlled: 0
status: public
title: Quadratic polynomials represented by norm forms
type: journal_article
volume: 22
year: '2012'
...
---
_id: '2440'
abstract:
- lang: eng
text: We present an algorithm for computing [X, Y], i.e., all homotopy classes of
continuous maps X → Y, where X, Y are topological spaces given as finite simplicial
complexes, Y is (d - 1)-connected for some d ≥ 2 (for example, Y can be the d-dimensional
sphere S d), and dim X ≤ 2d - 2. These conditions on X, Y guarantee that [X, Y]
has a natural structure of a finitely generated Abelian group, and the algorithm
finds generators and relations for it. We combine several tools and ideas from
homotopy theory (such as Postnikov systems, simplicial sets, and obstruction theory)
with algorithmic tools from effective algebraic topology (objects with effective
homology). We hope that a further extension of the methods developed here will
yield an algorithm for computing, in some cases of interest, the ℤ 2-index, which
is a quantity playing a prominent role in Borsuk-Ulam style applications of topology
in combinatorics and geometry, e.g., in topological lower bounds for the chromatic
number of a graph. In a certain range of dimensions, deciding the embeddability
of a simplicial complex into ℝ d also amounts to a ℤ 2-index computation. This
is the main motivation of our work. We believe that investigating the computational
complexity of questions in homotopy theory and similar areas presents a fascinating
research area, and we hope that our work may help bridge the cultural gap between
algebraic topology and theoretical computer science.
author:
- first_name: Martin
full_name: Čadek, Martin
last_name: Čadek
- first_name: Marek
full_name: Marek Krcál
id: 33E21118-F248-11E8-B48F-1D18A9856A87
last_name: Krcál
- first_name: Jiří
full_name: Matoušek, Jiří
last_name: Matoušek
- first_name: Francis
full_name: Sergeraert, Francis
last_name: Sergeraert
- first_name: Lukáš
full_name: Vokřínek, Lukáš
last_name: Vokřínek
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Čadek M, Krcál M, Matoušek J, Sergeraert F, Vokřínek L, Wagner U. Computing
all maps into a sphere. In: SIAM; 2012:1-10.'
apa: 'Čadek, M., Krcál, M., Matoušek, J., Sergeraert, F., Vokřínek, L., & Wagner,
U. (2012). Computing all maps into a sphere (pp. 1–10). Presented at the SODA:
Symposium on Discrete Algorithms, SIAM.'
chicago: Čadek, Martin, Marek Krcál, Jiří Matoušek, Francis Sergeraert, Lukáš Vokřínek,
and Uli Wagner. “Computing All Maps into a Sphere,” 1–10. SIAM, 2012.
ieee: 'M. Čadek, M. Krcál, J. Matoušek, F. Sergeraert, L. Vokřínek, and U. Wagner,
“Computing all maps into a sphere,” presented at the SODA: Symposium on Discrete
Algorithms, 2012, pp. 1–10.'
ista: 'Čadek M, Krcál M, Matoušek J, Sergeraert F, Vokřínek L, Wagner U. 2012. Computing
all maps into a sphere. SODA: Symposium on Discrete Algorithms, 1–10.'
mla: Čadek, Martin, et al. Computing All Maps into a Sphere. SIAM, 2012,
pp. 1–10.
short: M. Čadek, M. Krcál, J. Matoušek, F. Sergeraert, L. Vokřínek, U. Wagner, in:,
SIAM, 2012, pp. 1–10.
conference:
name: 'SODA: Symposium on Discrete Algorithms'
date_created: 2018-12-11T11:57:40Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:30Z
day: '01'
extern: 1
main_file_link:
- open_access: '0'
url: http://arxiv.org/abs/1105.6257
month: '01'
page: 1 - 10
publication_status: published
publisher: SIAM
publist_id: '4466'
quality_controlled: 0
status: public
title: Computing all maps into a sphere
type: conference
year: '2012'
...
---
_id: '2438'
abstract:
- lang: eng
text: The colored Tverberg theorem asserts that for eve;ry d and r there exists
t=t(d,r) such that for every set C ⊂ ℝ d of cardinality (d + 1)t, partitioned
into t-point subsets C 1, C 2,...,C d+1 (which we think of as color classes; e.
g., the points of C 1 are red, the points of C 2 blue, etc.), there exist r disjoint
sets R 1, R 2,...,R r⊆C that are rainbow, meaning that {pipe}R i∩C j{pipe}≤1 for
every i,j, and whose convex hulls all have a common point. All known proofs of
this theorem are topological. We present a geometric version of a recent beautiful
proof by Blagojević, Matschke, and Ziegler, avoiding a direct use of topological
methods. The purpose of this de-topologization is to make the proof more concrete
and intuitive, and accessible to a wider audience.
acknowledgement: 'We would like to thank Marek Krcál for useful discussions at initial
stages of this research. We also thank Günter M. Ziegler for valuable comments,
and Peter Landweber and two anonymous referees for detailed comments and corrections
that greatly helped to improve the presentation. In particular, we are indebted
to one of the referees for pointing out to us reference [19]. M. Tancer is supported
by the grants SVV-2010-261313 (Discrete Methods and Algorithms) and GAUK 49209.
U. Wagner’s research is supported by the Swiss National Science Foundation (SNF
Projects 200021- 125309 and 200020-125027). '
author:
- first_name: Jiří
full_name: Matoušek, Jiří
last_name: Matoušek
- first_name: Martin
full_name: Martin Tancer
id: 38AC689C-F248-11E8-B48F-1D18A9856A87
last_name: Tancer
orcid: 0000-0002-1191-6714
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: Matoušek J, Tancer M, Wagner U. A geometric proof of the colored Tverberg theorem.
Discrete & Computational Geometry. 2012;47(2):245-265. doi:10.1007/s00454-011-9368-2
apa: Matoušek, J., Tancer, M., & Wagner, U. (2012). A geometric proof of the
colored Tverberg theorem. Discrete & Computational Geometry. Springer.
https://doi.org/10.1007/s00454-011-9368-2
chicago: Matoušek, Jiří, Martin Tancer, and Uli Wagner. “A Geometric Proof of the
Colored Tverberg Theorem.” Discrete & Computational Geometry. Springer,
2012. https://doi.org/10.1007/s00454-011-9368-2.
ieee: J. Matoušek, M. Tancer, and U. Wagner, “A geometric proof of the colored Tverberg
theorem,” Discrete & Computational Geometry, vol. 47, no. 2. Springer,
pp. 245–265, 2012.
ista: Matoušek J, Tancer M, Wagner U. 2012. A geometric proof of the colored Tverberg
theorem. Discrete & Computational Geometry. 47(2), 245–265.
mla: Matoušek, Jiří, et al. “A Geometric Proof of the Colored Tverberg Theorem.”
Discrete & Computational Geometry, vol. 47, no. 2, Springer, 2012,
pp. 245–65, doi:10.1007/s00454-011-9368-2.
short: J. Matoušek, M. Tancer, U. Wagner, Discrete & Computational Geometry
47 (2012) 245–265.
date_created: 2018-12-11T11:57:39Z
date_published: 2012-03-01T00:00:00Z
date_updated: 2021-01-12T06:57:29Z
day: '01'
doi: 10.1007/s00454-011-9368-2
extern: 1
intvolume: ' 47'
issue: '2'
month: '03'
page: 245 - 265
publication: Discrete & Computational Geometry
publication_status: published
publisher: Springer
publist_id: '4468'
quality_controlled: 0
status: public
title: A geometric proof of the colored Tverberg theorem
type: journal_article
volume: 47
year: '2012'
...
---
_id: '244'
abstract:
- lang: eng
text: We investigate the solubility of the congruence xy ≡ 1 (mod p), where p is
a prime and x, y are restricted to lie in suitable short intervals. Our work relies
on a mean value theorem for incomplete Kloosterman sums.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council\tEPSRC,\nEP/J00149X/1\tEngineering
and Physical Sciences Research Council\tEPSRC\t"
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Alan
full_name: Haynes, Alan K
last_name: Haynes
citation:
ama: Browning TD, Haynes A. Incomplete kloosterman sums and multiplicative inverses
in short intervals. International Journal of Number Theory. 2012;9(2):481-486.
doi: https://doi.org/10.1142/S1793042112501448
apa: Browning, T. D., & Haynes, A. (2012). Incomplete kloosterman sums and multiplicative
inverses in short intervals. International Journal of Number Theory. World
Scientific Publishing. https://doi.org/
https://doi.org/10.1142/S1793042112501448
chicago: Browning, Timothy D, and Alan Haynes. “Incomplete Kloosterman Sums and
Multiplicative Inverses in Short Intervals.” International Journal of Number
Theory. World Scientific Publishing, 2012. https://doi.org/
https://doi.org/10.1142/S1793042112501448.
ieee: T. D. Browning and A. Haynes, “Incomplete kloosterman sums and multiplicative
inverses in short intervals,” International Journal of Number Theory, vol.
9, no. 2. World Scientific Publishing, pp. 481–486, 2012.
ista: Browning TD, Haynes A. 2012. Incomplete kloosterman sums and multiplicative
inverses in short intervals. International Journal of Number Theory. 9(2), 481–486.
mla: Browning, Timothy D., and Alan Haynes. “Incomplete Kloosterman Sums and Multiplicative
Inverses in Short Intervals.” International Journal of Number Theory, vol.
9, no. 2, World Scientific Publishing, 2012, pp. 481–86, doi: https://doi.org/10.1142/S1793042112501448.
short: T.D. Browning, A. Haynes, International Journal of Number Theory 9 (2012)
481–486.
date_created: 2018-12-11T11:45:24Z
date_published: 2012-11-30T00:00:00Z
date_updated: 2021-01-12T06:57:30Z
day: '30'
doi: ' https://doi.org/10.1142/S1793042112501448'
extern: 1
intvolume: ' 9'
issue: '2'
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1204.6374
month: '11'
oa: 1
page: 481 - 486
publication: International Journal of Number Theory
publication_status: published
publisher: World Scientific Publishing
publist_id: '7660'
quality_controlled: 0
status: public
title: Incomplete kloosterman sums and multiplicative inverses in short intervals
type: journal_article
volume: 9
year: '2012'
...
---
_id: '2439'
abstract:
- lang: eng
text: A Monte Carlo approximation algorithm for the Tukey depth problem in high
dimensions is introduced. The algorithm is a generalization of an algorithm presented
by Rousseeuw and Struyf (1998) . The performance of this algorithm is studied
both analytically and experimentally.
author:
- first_name: Dan
full_name: Chen, Dan
last_name: Chen
- first_name: Pat
full_name: Morin, Pat
last_name: Morin
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Chen D, Morin P, Wagner U. Absolute approximation of Tukey depth: Theory and
experiments. Computational Geometry: Theory and Applications. 2012;46(5):566-573.
doi:10.1016/j.comgeo.2012.03.001'
apa: 'Chen, D., Morin, P., & Wagner, U. (2012). Absolute approximation of Tukey
depth: Theory and experiments. Computational Geometry: Theory and Applications.
Elsevier. https://doi.org/10.1016/j.comgeo.2012.03.001'
chicago: 'Chen, Dan, Pat Morin, and Uli Wagner. “Absolute Approximation of Tukey
Depth: Theory and Experiments.” Computational Geometry: Theory and Applications.
Elsevier, 2012. https://doi.org/10.1016/j.comgeo.2012.03.001.'
ieee: 'D. Chen, P. Morin, and U. Wagner, “Absolute approximation of Tukey depth:
Theory and experiments,” Computational Geometry: Theory and Applications,
vol. 46, no. 5. Elsevier, pp. 566–573, 2012.'
ista: 'Chen D, Morin P, Wagner U. 2012. Absolute approximation of Tukey depth: Theory
and experiments. Computational Geometry: Theory and Applications. 46(5), 566–573.'
mla: 'Chen, Dan, et al. “Absolute Approximation of Tukey Depth: Theory and Experiments.”
Computational Geometry: Theory and Applications, vol. 46, no. 5, Elsevier,
2012, pp. 566–73, doi:10.1016/j.comgeo.2012.03.001.'
short: 'D. Chen, P. Morin, U. Wagner, Computational Geometry: Theory and Applications
46 (2012) 566–573.'
date_created: 2018-12-11T11:57:40Z
date_published: 2012-07-01T00:00:00Z
date_updated: 2021-01-12T06:57:29Z
day: '01'
doi: 10.1016/j.comgeo.2012.03.001
extern: 1
intvolume: ' 46'
issue: '5'
month: '07'
page: 566 - 573
publication: 'Computational Geometry: Theory and Applications'
publication_status: published
publisher: Elsevier
publist_id: '4467'
quality_controlled: 0
status: public
title: 'Absolute approximation of Tukey depth: Theory and experiments'
type: journal_article
volume: 46
year: '2012'
...
---
_id: '2441'
abstract:
- lang: eng
text: 'Eigenvalues associated to graphs are a well-studied subject. In particular
the spectra of the adjacency matrix and of the Laplacian of random graphs G(n,
p) are known quite precisely. We consider generalizations of these matrices to
simplicial complexes of higher dimensions and study their eigenvalues for the
Linial-Meshulam model X k(n, p) of random k-dimensional simplicial complexes on
n vertices. We show that for p = Ω(log n/n), the eigenvalues of both, the higher-dimensional
adjacency matrix and the Laplacian, are a.a.s. sharply concentrated around two
values. In a second part of the paper, we discuss a possible higherdimensional
analogue of the Discrete Cheeger Inequality. This fundamental inequality expresses
a close relationship between the eigenvalues of a graph and its combinatorial
expansion properties; in particular, spectral expansion (a large eigenvalue gap)
implies edge expansion. Recently, a higher-dimensional analogue of edge expansion
for simplicial complexes was introduced by Gromov, and independently by Linial,
Meshulam and Wallach and by Newman and Rabinovich. It is natural to ask whether
there is a higher-dimensional version of Cheeger''s inequality. We show that the
most straightforward version of a higher-dimensional Cheeger inequality fails:
for every k > 1, there is an infinite family of k-dimensional complexes that
are spectrally expanding (there is a large eigenvalue gap for the Laplacian) but
not combinatorially expanding.'
author:
- first_name: Anna
full_name: Gundert, Anna
last_name: Gundert
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Gundert A, Wagner U. On Laplacians of random complexes. In: ACM; 2012:151-160.
doi:10.1145/2261250.2261272'
apa: 'Gundert, A., & Wagner, U. (2012). On Laplacians of random complexes (pp.
151–160). Presented at the SGC: Symposuim on Computational Geometry, ACM. https://doi.org/10.1145/2261250.2261272'
chicago: Gundert, Anna, and Uli Wagner. “On Laplacians of Random Complexes,” 151–60.
ACM, 2012. https://doi.org/10.1145/2261250.2261272.
ieee: 'A. Gundert and U. Wagner, “On Laplacians of random complexes,” presented
at the SGC: Symposuim on Computational Geometry, 2012, pp. 151–160.'
ista: 'Gundert A, Wagner U. 2012. On Laplacians of random complexes. SGC: Symposuim
on Computational Geometry, 151–160.'
mla: Gundert, Anna, and Uli Wagner. On Laplacians of Random Complexes. ACM,
2012, pp. 151–60, doi:10.1145/2261250.2261272.
short: A. Gundert, U. Wagner, in:, ACM, 2012, pp. 151–160.
conference:
name: 'SGC: Symposuim on Computational Geometry'
date_created: 2018-12-11T11:57:41Z
date_published: 2012-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:30Z
day: '01'
doi: 10.1145/2261250.2261272
extern: 1
month: '06'
page: 151 - 160
publication_status: published
publisher: ACM
publist_id: '4464'
quality_controlled: 0
status: public
title: On Laplacians of random complexes
type: conference
year: '2012'
...
---
_id: '2453'
abstract:
- lang: eng
text: Constitutive endocytic recycling is a crucial mechanism allowing regulation
of the activity of proteins at the plasma membrane and for rapid changes in their
localization, as demonstrated in plants for PIN-FORMED (PIN) proteins, the auxin
transporters. To identify novel molecular components of endocytic recycling, mainly
exocytosis, we designed a PIN1-green fluorescent protein fluorescence imaging-based
forward genetic screen for Arabidopsis thaliana mutants that showed increased
intracellular accumulation of cargos in response to the trafficking inhibitor
brefeldin A (BFA). We identified bex5 (for BFA-visualized exocytic trafficking
defective), a novel dominant mutant carrying a missense mutation that disrupts
a conserved sequence motif of the small GTPase, RAS GENES FROM RAT BRAINA1b. bex5
displays defects such as enhanced protein accumulation in abnormal BFA compartments,
aberrant endosomes, and defective exocytosis and transcytosis. BEX5/RabA1b localizes
to trans-Golgi network/early endosomes (TGN/EE) and acts on distinct trafficking
processes like those regulated by GTP exchange factors on ADP-ribosylation factors
GNOM-LIKE1 and HOPM INTERACTOR7/BFA-VISUALIZED ENDOCYTIC TRAFFICKING DEFECTIVE1,
which regulate trafficking at the Golgi apparatus and TGN/EE, respectively. All
together, this study identifies Arabidopsis BEX5/RabA1b as a novel regulator of
protein trafficking from a TGN/EE compartment to the plasma membrane.
author:
- first_name: Elena
full_name: Feraru, Elena
last_name: Feraru
- first_name: Mugurel
full_name: Feraru, Mugurel Ioan
last_name: Feraru
- first_name: Rin
full_name: Asaoka, Rin
last_name: Asaoka
- first_name: Tomasz
full_name: Paciorek, Tomasz
last_name: Paciorek
- first_name: Riet
full_name: De Rycke, Riet M
last_name: De Rycke
- first_name: Hirokazu
full_name: Tanaka, Hirokazu
last_name: Tanaka
- first_name: Akihiko
full_name: Nakano, Akihiko
last_name: Nakano
- first_name: Jirí
full_name: Jirí Friml
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
citation:
ama: Feraru E, Feraru M, Asaoka R, et al. BEX5/RabA1b regulates trans-Golgi network-to-plasma
membrane protein trafficking in Arabidopsis. Plant Cell. 2012;24(7):3074-3086.
doi:10.1105/tpc.112.098152
apa: Feraru, E., Feraru, M., Asaoka, R., Paciorek, T., De Rycke, R., Tanaka, H.,
… Friml, J. (2012). BEX5/RabA1b regulates trans-Golgi network-to-plasma membrane
protein trafficking in Arabidopsis. Plant Cell. American Society of Plant
Biologists. https://doi.org/10.1105/tpc.112.098152
chicago: Feraru, Elena, Mugurel Feraru, Rin Asaoka, Tomasz Paciorek, Riet De Rycke,
Hirokazu Tanaka, Akihiko Nakano, and Jiří Friml. “BEX5/RabA1b Regulates Trans-Golgi
Network-to-Plasma Membrane Protein Trafficking in Arabidopsis.” Plant Cell.
American Society of Plant Biologists, 2012. https://doi.org/10.1105/tpc.112.098152.
ieee: E. Feraru et al., “BEX5/RabA1b regulates trans-Golgi network-to-plasma
membrane protein trafficking in Arabidopsis,” Plant Cell, vol. 24, no.
7. American Society of Plant Biologists, pp. 3074–3086, 2012.
ista: Feraru E, Feraru M, Asaoka R, Paciorek T, De Rycke R, Tanaka H, Nakano A,
Friml J. 2012. BEX5/RabA1b regulates trans-Golgi network-to-plasma membrane protein
trafficking in Arabidopsis. Plant Cell. 24(7), 3074–3086.
mla: Feraru, Elena, et al. “BEX5/RabA1b Regulates Trans-Golgi Network-to-Plasma
Membrane Protein Trafficking in Arabidopsis.” Plant Cell, vol. 24, no.
7, American Society of Plant Biologists, 2012, pp. 3074–86, doi:10.1105/tpc.112.098152.
short: E. Feraru, M. Feraru, R. Asaoka, T. Paciorek, R. De Rycke, H. Tanaka, A.
Nakano, J. Friml, Plant Cell 24 (2012) 3074–3086.
date_created: 2018-12-11T11:57:45Z
date_published: 2012-07-01T00:00:00Z
date_updated: 2021-01-12T06:57:35Z
day: '01'
doi: 10.1105/tpc.112.098152
extern: 1
intvolume: ' 24'
issue: '7'
month: '07'
page: 3074 - 3086
publication: Plant Cell
publication_status: published
publisher: American Society of Plant Biologists
publist_id: '4450'
quality_controlled: 0
status: public
title: BEX5/RabA1b regulates trans-Golgi network-to-plasma membrane protein trafficking
in Arabidopsis
type: journal_article
volume: 24
year: '2012'
...
---
_id: '2456'
abstract:
- lang: eng
text: The third EMBO Conference on Plant Molecular Biology, which focused on ‘Plant
development and environmental interactions’,was held in May 2012 in Matera, Italy.
Here, we review some of the topics and themes that emerged from the various
contributions; namely, steering technologies, transcriptional networks and hormonal
regulation, small RNAs, cell and tissue polarity, environmental control and natural
variation. We intend to provide the reader who might have missed this remarkable
event with a glimpse of the recent progress made in this blossoming research field.
author:
- first_name: Tom
full_name: Beeckman, Tom
last_name: Beeckman
- first_name: Jirí
full_name: Friml, Jirí
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
citation:
ama: Beeckman T, Friml J. Plant developmental biologists meet on stairways in Matera.
Development. 2012;139(20):3677-3682. doi:10.1242/dev.080861
apa: Beeckman, T., & Friml, J. (2012). Plant developmental biologists meet on
stairways in Matera. Development. Company of Biologists. https://doi.org/10.1242/dev.080861
chicago: Beeckman, Tom, and Jiří Friml. “Plant Developmental Biologists Meet on
Stairways in Matera.” Development. Company of Biologists, 2012. https://doi.org/10.1242/dev.080861.
ieee: T. Beeckman and J. Friml, “Plant developmental biologists meet on stairways
in Matera,” Development, vol. 139, no. 20. Company of Biologists, pp. 3677–3682,
2012.
ista: Beeckman T, Friml J. 2012. Plant developmental biologists meet on stairways
in Matera. Development. 139(20), 3677–3682.
mla: Beeckman, Tom, and Jiří Friml. “Plant Developmental Biologists Meet on Stairways
in Matera.” Development, vol. 139, no. 20, Company of Biologists, 2012,
pp. 3677–82, doi:10.1242/dev.080861.
short: T. Beeckman, J. Friml, Development 139 (2012) 3677–3682.
date_created: 2018-12-11T11:57:46Z
date_published: 2012-10-15T00:00:00Z
date_updated: 2021-01-12T06:57:35Z
day: '15'
doi: 10.1242/dev.080861
extern: '1'
intvolume: ' 139'
issue: '20'
language:
- iso: eng
month: '10'
oa_version: None
page: 3677 - 3682
publication: Development
publication_status: published
publisher: Company of Biologists
publist_id: '4447'
quality_controlled: '1'
status: public
title: Plant developmental biologists meet on stairways in Matera
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 139
year: '2012'
...
---
_id: '2459'
abstract:
- lang: eng
text: Coordinated, subcellular trafficking of proteins is one of the fundamental
properties of the multicellular eukaryotic organisms. Trafficking involves a large
diversity of compartments, pathways, cargo molecules, and vesicle-sorting events.
It is also crucial in regulating the localization and, thus, the activity of various
proteins, but the process is still poorly genetically defined in plants. In the
past, forward genetics screens had been used to determine the function of genes
by searching for a specific morphological phenotype in the organism population
in which mutations had been induced chemically or by irradiation. Unfortunately,
these straightforward genetic screens turned out to be limited in identifying
new regulators of intracellular protein transport, because mutations affecting
essential trafficking pathways often lead to lethality. In addition, the use of
these approaches has been restricted by functional redundancy among trafficking
regulators. Screens for mutants that rely on the observation of changes in the
cellular localization or dynamics of fluorescent subcellular markers enable, at
least partially, to circumvent these issues. Hence, such image-based screens provide
the possibility to identify either alleles with weak effects or components of
the subcellular trafficking machinery that have no strong impact on the plant
growth.
article_number: '97'
author:
- first_name: Marta
full_name: Zwiewka, Marta
last_name: Zwiewka
- first_name: Jirí
full_name: Friml, Jirí
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
citation:
ama: Zwiewka M, Friml J. Fluorescence imaging-based forward genetic screens to identify
trafficking regulators in plants. Frontiers in Plant Science. 2012;3(May).
doi:10.3389/fpls.2012.00097
apa: Zwiewka, M., & Friml, J. (2012). Fluorescence imaging-based forward genetic
screens to identify trafficking regulators in plants. Frontiers in Plant Science.
Frontiers Research Foundation. https://doi.org/10.3389/fpls.2012.00097
chicago: Zwiewka, Marta, and Jiří Friml. “Fluorescence Imaging-Based Forward Genetic
Screens to Identify Trafficking Regulators in Plants.” Frontiers in Plant Science.
Frontiers Research Foundation, 2012. https://doi.org/10.3389/fpls.2012.00097.
ieee: M. Zwiewka and J. Friml, “Fluorescence imaging-based forward genetic screens
to identify trafficking regulators in plants,” Frontiers in Plant Science,
vol. 3, no. May. Frontiers Research Foundation, 2012.
ista: Zwiewka M, Friml J. 2012. Fluorescence imaging-based forward genetic screens
to identify trafficking regulators in plants. Frontiers in Plant Science. 3(May),
97.
mla: Zwiewka, Marta, and Jiří Friml. “Fluorescence Imaging-Based Forward Genetic
Screens to Identify Trafficking Regulators in Plants.” Frontiers in Plant Science,
vol. 3, no. May, 97, Frontiers Research Foundation, 2012, doi:10.3389/fpls.2012.00097.
short: M. Zwiewka, J. Friml, Frontiers in Plant Science 3 (2012).
date_created: 2018-12-11T11:57:47Z
date_published: 2012-05-24T00:00:00Z
date_updated: 2021-01-12T06:57:36Z
day: '24'
ddc:
- '580'
doi: 10.3389/fpls.2012.00097
extern: '1'
file:
- access_level: open_access
checksum: ab4e9487ccdb83a7a0a9ee6811521844
content_type: application/pdf
creator: kschuh
date_created: 2019-04-26T06:49:26Z
date_updated: 2020-07-14T12:45:41Z
file_id: '6346'
file_name: 2012_frontiers_Zwiewka.pdf
file_size: 1468230
relation: main_file
file_date_updated: 2020-07-14T12:45:41Z
has_accepted_license: '1'
intvolume: ' 3'
issue: May
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
publication: Frontiers in Plant Science
publication_status: published
publisher: Frontiers Research Foundation
publist_id: '4444'
quality_controlled: '1'
status: public
title: Fluorescence imaging-based forward genetic screens to identify trafficking
regulators in plants
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2012'
...
---
_id: '2458'
abstract:
- lang: eng
text: Initiation and successive development of organs induce mechanical stresses
at the cellular level. Using the tomato shoot apex, a new study now proposes that
mechanical strain regulates the plasma membrane abundance of the PIN1 auxin transporter,
thereby reinforcing a positive feed-back loop between growth and auxin accumulation.
author:
- first_name: Hongjiang
full_name: Li, Hongjiang
id: 33CA54A6-F248-11E8-B48F-1D18A9856A87
last_name: Li
orcid: 0000-0001-5039-9660
- first_name: Jirí
full_name: Friml, Jirí
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
- first_name: Wim
full_name: Grunewald, Wim
last_name: Grunewald
citation:
ama: 'Li H, Friml J, Grunewald W. Cell polarity: Stretching prevents developmental
cramps. Current Biology. 2012;22(16):R635-R637. doi:10.1016/j.cub.2012.06.053'
apa: 'Li, H., Friml, J., & Grunewald, W. (2012). Cell polarity: Stretching prevents
developmental cramps. Current Biology. Cell Press. https://doi.org/10.1016/j.cub.2012.06.053'
chicago: 'Li, Hongjiang, Jiří Friml, and Wim Grunewald. “Cell Polarity: Stretching
Prevents Developmental Cramps.” Current Biology. Cell Press, 2012. https://doi.org/10.1016/j.cub.2012.06.053.'
ieee: 'H. Li, J. Friml, and W. Grunewald, “Cell polarity: Stretching prevents developmental
cramps,” Current Biology, vol. 22, no. 16. Cell Press, pp. R635–R637, 2012.'
ista: 'Li H, Friml J, Grunewald W. 2012. Cell polarity: Stretching prevents developmental
cramps. Current Biology. 22(16), R635–R637.'
mla: 'Li, Hongjiang, et al. “Cell Polarity: Stretching Prevents Developmental Cramps.”
Current Biology, vol. 22, no. 16, Cell Press, 2012, pp. R635–37, doi:10.1016/j.cub.2012.06.053.'
short: H. Li, J. Friml, W. Grunewald, Current Biology 22 (2012) R635–R637.
date_created: 2018-12-11T11:57:47Z
date_published: 2012-08-21T00:00:00Z
date_updated: 2021-01-12T06:57:36Z
day: '21'
doi: 10.1016/j.cub.2012.06.053
extern: '1'
intvolume: ' 22'
issue: '16'
language:
- iso: eng
month: '08'
oa_version: None
page: R635 - R637
publication: Current Biology
publication_status: published
publisher: Cell Press
publist_id: '4445'
quality_controlled: '1'
status: public
title: 'Cell polarity: Stretching prevents developmental cramps'
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 22
year: '2012'
...
---
_id: '2476'
abstract:
- lang: eng
text: Recently developed pharmacogenetic and optogenetic approaches, with their
own advantages and disadvantages, have become indispensable tools in modern neuroscience.
Here, we employed a previously described knock-in mouse line (GABA ARγ2 77Ilox)
in which the γ2 subunit of the GABA A receptor (GABA AR) was mutated to become
zolpidem insensitive (γ2 77I) and used viral vectors to swap γ2 77I with wild-type,
zolpidem-sensitive γ2 subunits (γ2 77F). The verification of unaltered density
and subcellular distribution of the virally introduced γ2 subunits requires their
selective labelling. For this we generated six N- and six C-terminal-tagged γ2
subunits, with which cortical cultures of GABA ARγ2 -/- mice were transduced using
lentiviruses. We found that the N-terminal AU1 tag resulted in excellent immunodetection
and unimpaired synaptic localization. Unaltered kinetic properties of the AU1-tagged
γ2 ( AU1γ2 77F) channels were demonstrated with whole-cell patch-clamp recordings
of spontaneous IPSCs from cultured cells. Next, we carried out stereotaxic injections
of lenti- and adeno-associated viruses containing Cre-recombinase and the AU1γ2
77F subunit (Cre-2A- AU1γ2 77F) into the neocortex of GABA ARγ2 77Ilox mice. Light
microscopic immunofluorescence and electron microscopic freeze-fracture replica
immunogold labelling demonstrated the efficient immunodetection of the AU1 tag
and the normal enrichment of the AU1γ2 77F subunits in perisomatic GABAergic synapses.
In line with this, miniature and action potential-evoked IPSCs whole-cell recorded
from transduced cells had unaltered amplitudes, kinetics and restored zolpidem
sensitivity. Our results obtained with a wide range of structural and functional
verification methods reveal unaltered subcellular distributions and functional
properties of γ2 77I and AU1γ2 77F GABA ARs in cortical pyramidal cells. This
transgenic-viral pharmacogenetic approach has the advantage that it does not require
any extrinsic protein that might endow some unforeseen alterations of the genetically
modified cells. In addition, this virus-based approach opens up the possibility
of modifying multiple cell types in distinct brain regions and performing alternative
recombination-based intersectional genetic manipulations.
author:
- first_name: Máté
full_name: Sümegi, Máté
last_name: Sümegi
- first_name: Yugo
full_name: Fukazawa, Yugo
last_name: Fukazawa
- first_name: Ko
full_name: Matsui, Ko
last_name: Matsui
- first_name: Andrea
full_name: Lörincz, Andrea
last_name: Lörincz
- first_name: Mark
full_name: Eyre, Mark D
last_name: Eyre
- first_name: Zoltán
full_name: Nusser, Zoltán
last_name: Nusser
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
citation:
ama: Sümegi M, Fukazawa Y, Matsui K, et al. Virus-mediated swapping of zolpidem-insensitive
with zolpidem-sensitive GABA A receptors in cortical pyramidal cells. Journal
of Physiology. 2012;590(7):1517-1534. doi:10.1113/jphysiol.2012.227538
apa: Sümegi, M., Fukazawa, Y., Matsui, K., Lörincz, A., Eyre, M., Nusser, Z., &
Shigemoto, R. (2012). Virus-mediated swapping of zolpidem-insensitive with zolpidem-sensitive
GABA A receptors in cortical pyramidal cells. Journal of Physiology. Wiley-Blackwell.
https://doi.org/10.1113/jphysiol.2012.227538
chicago: Sümegi, Máté, Yugo Fukazawa, Ko Matsui, Andrea Lörincz, Mark Eyre, Zoltán
Nusser, and Ryuichi Shigemoto. “Virus-Mediated Swapping of Zolpidem-Insensitive
with Zolpidem-Sensitive GABA A Receptors in Cortical Pyramidal Cells.” Journal
of Physiology. Wiley-Blackwell, 2012. https://doi.org/10.1113/jphysiol.2012.227538.
ieee: M. Sümegi et al., “Virus-mediated swapping of zolpidem-insensitive
with zolpidem-sensitive GABA A receptors in cortical pyramidal cells,” Journal
of Physiology, vol. 590, no. 7. Wiley-Blackwell, pp. 1517–1534, 2012.
ista: Sümegi M, Fukazawa Y, Matsui K, Lörincz A, Eyre M, Nusser Z, Shigemoto R.
2012. Virus-mediated swapping of zolpidem-insensitive with zolpidem-sensitive
GABA A receptors in cortical pyramidal cells. Journal of Physiology. 590(7), 1517–1534.
mla: Sümegi, Máté, et al. “Virus-Mediated Swapping of Zolpidem-Insensitive with
Zolpidem-Sensitive GABA A Receptors in Cortical Pyramidal Cells.” Journal of
Physiology, vol. 590, no. 7, Wiley-Blackwell, 2012, pp. 1517–34, doi:10.1113/jphysiol.2012.227538.
short: M. Sümegi, Y. Fukazawa, K. Matsui, A. Lörincz, M. Eyre, Z. Nusser, R. Shigemoto,
Journal of Physiology 590 (2012) 1517–1534.
date_created: 2018-12-11T11:57:53Z
date_published: 2012-04-07T00:00:00Z
date_updated: 2021-01-12T06:57:43Z
day: '07'
doi: 10.1113/jphysiol.2012.227538
extern: 1
intvolume: ' 590'
issue: '7'
month: '04'
page: 1517 - 1534
publication: Journal of Physiology
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4425'
quality_controlled: 0
status: public
title: Virus-mediated swapping of zolpidem-insensitive with zolpidem-sensitive GABA
A receptors in cortical pyramidal cells
type: journal_article
volume: 590
year: '2012'
...
---
_id: '2475'
abstract:
- lang: eng
text: 'Background: One of the best-characterized causative factors of Alzheimer''s
disease (AD) is the generation of amyloid-β peptide (Aβ). AD subjects are at high
risk of epileptic seizures accompanied by aberrant neuronal excitability, which
in itself enhances Aβ generation. However, the molecular linkage between epileptic
seizures and Aβ generation in AD remains unclear. Results: X11 and X11-like (X11L)
gene knockout mice suffered from epileptic seizures, along with a malfunction
of hyperpolarization-activated cyclic nucleotide gated (HCN) channels. Genetic
ablation of HCN1 in mice and HCN1 channel blockage in cultured Neuro2a (N2a) cells
enhanced Aβ generation. Interestingly, HCN1 levels dramatically decreased in the
temporal lobe of cynomolgus monkeys (Macaca fascicularis) during aging and were
significantly diminished in the temporal lobe of sporadic AD patients. Conclusion:
Because HCN1 associates with amyloid-β precursor protein (APP) and X11/X11L in
the brain, genetic deficiency of X11/X11L may induce aberrant HCN1 distribution
along with epilepsy. Moreover, the reduction in HCN1 levels in aged primates may
contribute to augmented Aβ generation. Taken together, HCN1 is proposed to play
an important role in the molecular linkage between epileptic seizures and Aβ generation,
and in the aggravation of sporadic AD.'
author:
- first_name: Yuhki
full_name: Saito, Yuhki
last_name: Saito
- first_name: Tsuyoshi
full_name: Inoue, Tsuyoshi
last_name: Inoue
- first_name: Gang
full_name: Zhu, Gang
last_name: Zhu
- first_name: Naoki
full_name: Kimura, Naoki
last_name: Kimura
- first_name: Motohiro
full_name: Okada, Motohiro
last_name: Okada
- first_name: Masaki
full_name: Nishimura, Masaki
last_name: Nishimura
- first_name: Shigeo
full_name: Murayama, Shigeo
last_name: Murayama
- first_name: Sunao
full_name: Kaneko, Sunao
last_name: Kaneko
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: Keiji
full_name: Imoto, Keiji
last_name: Imoto
- first_name: Toshiharu
full_name: Suzuki, Toshiharu
last_name: Suzuki
citation:
ama: 'Saito Y, Inoue T, Zhu G, et al. Hyperpolarization-activated cyclic nucleotide
gated channels: A potential molecular link between epileptic seizures and Aβ generation
in Alzheimer’s disease. Molecular Neurodegeneration. 2012;7(1). doi:10.1186/1750-1326-7-50'
apa: 'Saito, Y., Inoue, T., Zhu, G., Kimura, N., Okada, M., Nishimura, M., … Suzuki,
T. (2012). Hyperpolarization-activated cyclic nucleotide gated channels: A potential
molecular link between epileptic seizures and Aβ generation in Alzheimer’s disease.
Molecular Neurodegeneration. BioMed Central. https://doi.org/10.1186/1750-1326-7-50'
chicago: 'Saito, Yuhki, Tsuyoshi Inoue, Gang Zhu, Naoki Kimura, Motohiro Okada,
Masaki Nishimura, Shigeo Murayama, et al. “Hyperpolarization-Activated Cyclic
Nucleotide Gated Channels: A Potential Molecular Link between Epileptic Seizures
and Aβ Generation in Alzheimer’s Disease.” Molecular Neurodegeneration.
BioMed Central, 2012. https://doi.org/10.1186/1750-1326-7-50.'
ieee: 'Y. Saito et al., “Hyperpolarization-activated cyclic nucleotide gated
channels: A potential molecular link between epileptic seizures and Aβ generation
in Alzheimer’s disease,” Molecular Neurodegeneration, vol. 7, no. 1. BioMed
Central, 2012.'
ista: 'Saito Y, Inoue T, Zhu G, Kimura N, Okada M, Nishimura M, Murayama S, Kaneko
S, Shigemoto R, Imoto K, Suzuki T. 2012. Hyperpolarization-activated cyclic nucleotide
gated channels: A potential molecular link between epileptic seizures and Aβ generation
in Alzheimer’s disease. Molecular Neurodegeneration. 7(1).'
mla: 'Saito, Yuhki, et al. “Hyperpolarization-Activated Cyclic Nucleotide Gated
Channels: A Potential Molecular Link between Epileptic Seizures and Aβ Generation
in Alzheimer’s Disease.” Molecular Neurodegeneration, vol. 7, no. 1, BioMed
Central, 2012, doi:10.1186/1750-1326-7-50.'
short: Y. Saito, T. Inoue, G. Zhu, N. Kimura, M. Okada, M. Nishimura, S. Murayama,
S. Kaneko, R. Shigemoto, K. Imoto, T. Suzuki, Molecular Neurodegeneration 7 (2012).
date_created: 2018-12-11T11:57:53Z
date_published: 2012-10-03T00:00:00Z
date_updated: 2021-01-12T06:57:42Z
day: '03'
doi: 10.1186/1750-1326-7-50
extern: 1
intvolume: ' 7'
issue: '1'
month: '10'
publication: Molecular Neurodegeneration
publication_status: published
publisher: BioMed Central
publist_id: '4426'
quality_controlled: 0
status: public
title: 'Hyperpolarization-activated cyclic nucleotide gated channels: A potential
molecular link between epileptic seizures and Aβ generation in Alzheimer''s disease'
type: journal_article
volume: 7
year: '2012'
...
---
_id: '2477'
abstract:
- lang: eng
text: Dynamic activity of glia has repeatedly been demonstrated, but if such activity
is independent from neuronal activity, glia would not have any role in the information
processing in the brain or in the generation of animal behavior. Evidence for
neurons communicating with glia is solid, but the signaling pathway leading back
from glial-to-neuronal activity was often difficult to study. Here, we introduced
a transgenic mouse line in which channelrhodopsin-2, a light-gated cation channel,
was expressed in astrocytes. Selective photostimulation of these astrocytes in
vivo triggered neuronal activation. Using slice preparations, we show that glial
photostimulation leads to release of glutamate, which was sufficient to activate
AMPA receptors on Purkinje cells and to induce long-term depression of parallel
fiber-to-Purkinje cell synapses through activation of metabotropic glutamate receptors.
In contrast to neuronal synaptic vesicular release, glial activation likely causes
preferential activation of extrasynaptic receptors that appose glial membrane.
Finally, we show that neuronal activation by glial stimulation can lead to perturbation
of cerebellar modulated motor behavior. These findings demonstrate that glia can
modulate the tone of neuronal activity and behavior. This animal model is expected
to be a potentially powerful approach to study the role of glia in brain function.
author:
- first_name: Takuya
full_name: Sasaki, Takuya
last_name: Sasaki
- first_name: Kaoru
full_name: Beppu, Kaoru
last_name: Beppu
- first_name: Kenji
full_name: Tanaka, Kenji F
last_name: Tanaka
- first_name: Yugo
full_name: Fukazawa, Yugo
last_name: Fukazawa
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: Ko
full_name: Matsui, Ko
last_name: Matsui
citation:
ama: Sasaki T, Beppu K, Tanaka K, Fukazawa Y, Shigemoto R, Matsui K. Application
of an optogenetic byway for perturbing neuronal activity via glial photostimulation.
PNAS. 2012;109(50):20720-20725. doi:10.1073/pnas.1213458109
apa: Sasaki, T., Beppu, K., Tanaka, K., Fukazawa, Y., Shigemoto, R., & Matsui,
K. (2012). Application of an optogenetic byway for perturbing neuronal activity
via glial photostimulation. PNAS. National Academy of Sciences. https://doi.org/10.1073/pnas.1213458109
chicago: Sasaki, Takuya, Kaoru Beppu, Kenji Tanaka, Yugo Fukazawa, Ryuichi Shigemoto,
and Ko Matsui. “Application of an Optogenetic Byway for Perturbing Neuronal Activity
via Glial Photostimulation.” PNAS. National Academy of Sciences, 2012.
https://doi.org/10.1073/pnas.1213458109.
ieee: T. Sasaki, K. Beppu, K. Tanaka, Y. Fukazawa, R. Shigemoto, and K. Matsui,
“Application of an optogenetic byway for perturbing neuronal activity via glial
photostimulation,” PNAS, vol. 109, no. 50. National Academy of Sciences,
pp. 20720–20725, 2012.
ista: Sasaki T, Beppu K, Tanaka K, Fukazawa Y, Shigemoto R, Matsui K. 2012. Application
of an optogenetic byway for perturbing neuronal activity via glial photostimulation.
PNAS. 109(50), 20720–20725.
mla: Sasaki, Takuya, et al. “Application of an Optogenetic Byway for Perturbing
Neuronal Activity via Glial Photostimulation.” PNAS, vol. 109, no. 50,
National Academy of Sciences, 2012, pp. 20720–25, doi:10.1073/pnas.1213458109.
short: T. Sasaki, K. Beppu, K. Tanaka, Y. Fukazawa, R. Shigemoto, K. Matsui, PNAS
109 (2012) 20720–20725.
date_created: 2018-12-11T11:57:54Z
date_published: 2012-12-11T00:00:00Z
date_updated: 2021-01-12T06:57:43Z
day: '11'
doi: 10.1073/pnas.1213458109
extern: 1
intvolume: ' 109'
issue: '50'
month: '12'
page: 20720 - 20725
publication: PNAS
publication_status: published
publisher: National Academy of Sciences
publist_id: '4424'
quality_controlled: 0
status: public
title: Application of an optogenetic byway for perturbing neuronal activity via glial
photostimulation
type: journal_article
volume: 109
year: '2012'
...
---
_id: '2474'
abstract:
- lang: eng
text: 'Interneurons are critical for neuronal circuit function, but how their dendritic
morphologies and membrane properties influence information flow within neuronal
circuits is largely unknown. We studied the spatiotemporal profile of synaptic
integration and short-term plasticity in dendrites of mature cerebellar stellate
cells by combining two-photon guided electrical stimulation, glutamate uncaging,
electron microscopy, and modeling. Synaptic activation within thin (0.4 μm) dendrites
produced somatic responses that became smaller and slower with increasing distance
from the soma, sublinear subthreshold input-output relationships, and a somatodendritic
gradient of short-term plasticity. Unlike most studies showing that neurons employ
active dendritic mechanisms, we found that passive cable properties of thin dendrites
determine the sublinear integration and plasticity gradient, which both result
from large dendritic depolarizations that reduce synaptic driving force. These
integrative properties allow stellate cells to act as spatiotemporal filters of
synaptic input patterns, thereby biasing their output in favor of sparse presynaptic
activity. Stellate cells are critical sources of inhibition in the cerebellum,
but how their dendrites integrate excitatory synaptic inputs is unknown. Abrahamsson
et al. show that thin dendrites and passive membrane properties of SCs promote
sublinear synaptic summation and distance-dependent short-term plasticity. '
author:
- first_name: Therese
full_name: Abrahamsson, Therese
last_name: Abrahamsson
- first_name: Laurence
full_name: Cathala, Laurence
last_name: Cathala
- first_name: Ko
full_name: Matsui, Ko
last_name: Matsui
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: David
full_name: DiGregorio, David A
last_name: Digregorio
citation:
ama: Abrahamsson T, Cathala L, Matsui K, Shigemoto R, Digregorio D. Thin dendrites
of cerebellar interneurons confer sublinear synaptic integration and a gradient
of short-term plasticity. Neuron. 2012;73(6):1159-1172. doi:10.1016/j.neuron.2012.01.027
apa: Abrahamsson, T., Cathala, L., Matsui, K., Shigemoto, R., & Digregorio,
D. (2012). Thin dendrites of cerebellar interneurons confer sublinear synaptic
integration and a gradient of short-term plasticity. Neuron. Elsevier.
https://doi.org/10.1016/j.neuron.2012.01.027
chicago: Abrahamsson, Therese, Laurence Cathala, Ko Matsui, Ryuichi Shigemoto, and
David Digregorio. “Thin Dendrites of Cerebellar Interneurons Confer Sublinear
Synaptic Integration and a Gradient of Short-Term Plasticity.” Neuron.
Elsevier, 2012. https://doi.org/10.1016/j.neuron.2012.01.027.
ieee: T. Abrahamsson, L. Cathala, K. Matsui, R. Shigemoto, and D. Digregorio, “Thin
dendrites of cerebellar interneurons confer sublinear synaptic integration and
a gradient of short-term plasticity,” Neuron, vol. 73, no. 6. Elsevier,
pp. 1159–1172, 2012.
ista: Abrahamsson T, Cathala L, Matsui K, Shigemoto R, Digregorio D. 2012. Thin
dendrites of cerebellar interneurons confer sublinear synaptic integration and
a gradient of short-term plasticity. Neuron. 73(6), 1159–1172.
mla: Abrahamsson, Therese, et al. “Thin Dendrites of Cerebellar Interneurons Confer
Sublinear Synaptic Integration and a Gradient of Short-Term Plasticity.” Neuron,
vol. 73, no. 6, Elsevier, 2012, pp. 1159–72, doi:10.1016/j.neuron.2012.01.027.
short: T. Abrahamsson, L. Cathala, K. Matsui, R. Shigemoto, D. Digregorio, Neuron
73 (2012) 1159–1172.
date_created: 2018-12-11T11:57:52Z
date_published: 2012-03-22T00:00:00Z
date_updated: 2021-01-12T06:57:42Z
day: '22'
doi: 10.1016/j.neuron.2012.01.027
extern: 1
intvolume: ' 73'
issue: '6'
month: '03'
page: 1159 - 1172
publication: Neuron
publication_status: published
publisher: Elsevier
publist_id: '4427'
quality_controlled: 0
status: public
title: Thin dendrites of cerebellar interneurons confer sublinear synaptic integration
and a gradient of short-term plasticity
type: journal_article
volume: 73
year: '2012'
...
---
_id: '2515'
abstract:
- lang: eng
text: We investigated the temporal and spatial expression of SK2 in the developing
mouse hippocampus using molecular and biochemical techniques, quantitative immunogold
electron microscopy, and electrophysiology. The mRNA encoding SK2 was expressed
in the developing and adult hippocampus. Western blotting and immunohistochemistry
showed that SK2 protein increased with age. This was accompanied by a shift in
subcellular localization. Early in development (P5), SK2 was predominantly localized
to the endoplasmic reticulum in the pyramidal cell layer. But by P30 SK2 was almost
exclusively expressed in the dendrites and spines. The level of SK2 at the postsynaptic
density (PSD) also increased during development. In the adult, SK2 expression
on the spine plasma membrane showed a proximal-to-distal gradient. Consistent
with this redistribution and gradient of SK2, the selective SK channel blocker
apamin increased evoked excitatory postsynaptic potentials (EPSPs) only in CA1
pyramidal neurons from mice older than P15. However, the effect of apamin on EPSPs
was not different between synapses in proximal or distal stratum radiatum or stratum
lacunosum-moleculare in adult. These results show a developmental increase and
gradient in SK2-containing channel surface expression that underlie their influence
on neurotransmission, and that may contribute to increased memory acquisition
during early development.
author:
- first_name: Carmen
full_name: Ballesteros-Merino, Carmen
last_name: Ballesteros Merino
- first_name: Michael
full_name: Lin, Michael
last_name: Lin
- first_name: Wendy
full_name: Wu, Wendy W
last_name: Wu
- first_name: Clotilde
full_name: Ferrándiz-Huertas, Clotilde
last_name: Ferrándiz Huertas
- first_name: María
full_name: Cabañero, María José
last_name: Cabañero
- first_name: Masahiko
full_name: Watanabe, Masahiko
last_name: Watanabe
- first_name: Yugo
full_name: Fukazawa, Yugo
last_name: Fukazawa
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: James
full_name: Maylie, James G
last_name: Maylie
- first_name: John
full_name: Adelman, John P
last_name: Adelman
- first_name: Rafael
full_name: Luján, Rafael
last_name: Luján
citation:
ama: Ballesteros Merino C, Lin M, Wu W, et al. Developmental profile of SK2 channel
expression and function in CA1 neurons. Hippocampus. 2012;22(6):1467-1480.
doi:10.1002/hipo.20986
apa: Ballesteros Merino, C., Lin, M., Wu, W., Ferrándiz Huertas, C., Cabañero, M.,
Watanabe, M., … Luján, R. (2012). Developmental profile of SK2 channel expression
and function in CA1 neurons. Hippocampus. Wiley-Blackwell. https://doi.org/10.1002/hipo.20986
chicago: Ballesteros Merino, Carmen, Michael Lin, Wendy Wu, Clotilde Ferrándiz Huertas,
María Cabañero, Masahiko Watanabe, Yugo Fukazawa, et al. “ Developmental Profile
of SK2 Channel Expression and Function in CA1 Neurons.” Hippocampus. Wiley-Blackwell,
2012. https://doi.org/10.1002/hipo.20986.
ieee: C. Ballesteros Merino et al., “ Developmental profile of SK2 channel
expression and function in CA1 neurons,” Hippocampus, vol. 22, no. 6. Wiley-Blackwell,
pp. 1467–1480, 2012.
ista: Ballesteros Merino C, Lin M, Wu W, Ferrándiz Huertas C, Cabañero M, Watanabe
M, Fukazawa Y, Shigemoto R, Maylie J, Adelman J, Luján R. 2012. Developmental
profile of SK2 channel expression and function in CA1 neurons. Hippocampus. 22(6),
1467–1480.
mla: Ballesteros Merino, Carmen, et al. “ Developmental Profile of SK2 Channel Expression
and Function in CA1 Neurons.” Hippocampus, vol. 22, no. 6, Wiley-Blackwell,
2012, pp. 1467–80, doi:10.1002/hipo.20986.
short: C. Ballesteros Merino, M. Lin, W. Wu, C. Ferrándiz Huertas, M. Cabañero,
M. Watanabe, Y. Fukazawa, R. Shigemoto, J. Maylie, J. Adelman, R. Luján, Hippocampus
22 (2012) 1467–1480.
date_created: 2018-12-11T11:58:07Z
date_published: 2012-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:57Z
day: '01'
doi: 10.1002/hipo.20986
extern: 1
intvolume: ' 22'
issue: '6'
month: '06'
page: 1467 - 1480
publication: Hippocampus
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4386'
quality_controlled: 0
status: public
title: ' Developmental profile of SK2 channel expression and function in CA1 neurons'
type: journal_article
volume: 22
year: '2012'
...
---
_id: '2514'
abstract:
- lang: eng
text: Visual information must be relayed through the lateral geniculate nucleus
before it reaches the visual cortex. However, not all spikes created in the retina
lead to postsynaptic spikes and properties of the retinogeniculate synapse contribute
to this filtering. To understand the mechanisms underlying this filtering process,
we conducted electrophysiology to assess the properties of signal transmission
in the Long-Evans rat. We also performed SDS-digested freeze-fracture replica
labeling to quantify the receptor and transporter distribution, as well as EM
reconstruction to describe the 3D structure. To analyze the impact of transmitter
diffusion on the activity of the receptors, simulations were integrated. We identified
that a large contributor to the filtering is the marked paired-pulse depression
at this synapse, which was intensified by the morphological characteristics of
the contacts. The broad presynaptic and postsynaptic contact area restricts transmitter
diffusion two dimensionally. Additionally, the presence of multiple closely arranged
release sites invites intersynaptic spillover, which causes desensitization of
AMPA receptors. The presence of AMPA receptors that slowly recover from desensitization
along with the high presynaptic release probability and multivesicular release
at each synapse also contribute to the depression. These features contrast with
many other synapses where spatiotemporal spread of transmitter is limited by rapid
transmitter clearance allowing synapses to operate more independently. We propose
that the micrometer-order structure can ultimately affect the visual information
processing.
author:
- first_name: Timotheus
full_name: Budisantoso, Timotheus
last_name: Budisantoso
- first_name: Ko
full_name: Matsui, Ko
last_name: Matsui
- first_name: Naomi
full_name: Kamasawa, Naomi
last_name: Kamasawa
- first_name: Yugo
full_name: Fukazawa, Yugo
last_name: Fukazawa
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
citation:
ama: Budisantoso T, Matsui K, Kamasawa N, Fukazawa Y, Shigemoto R. Mechanisms underlying
signal filtering at a multisynapse contact. Journal of Neuroscience. 2012;32(7):2357-2376.
doi:10.1523/JNEUROSCI.5243-11.2012
apa: Budisantoso, T., Matsui, K., Kamasawa, N., Fukazawa, Y., & Shigemoto, R.
(2012). Mechanisms underlying signal filtering at a multisynapse contact. Journal
of Neuroscience. Society for Neuroscience. https://doi.org/10.1523/JNEUROSCI.5243-11.2012
chicago: Budisantoso, Timotheus, Ko Matsui, Naomi Kamasawa, Yugo Fukazawa, and Ryuichi
Shigemoto. “Mechanisms Underlying Signal Filtering at a Multisynapse Contact.”
Journal of Neuroscience. Society for Neuroscience, 2012. https://doi.org/10.1523/JNEUROSCI.5243-11.2012.
ieee: T. Budisantoso, K. Matsui, N. Kamasawa, Y. Fukazawa, and R. Shigemoto, “Mechanisms
underlying signal filtering at a multisynapse contact,” Journal of Neuroscience,
vol. 32, no. 7. Society for Neuroscience, pp. 2357–2376, 2012.
ista: Budisantoso T, Matsui K, Kamasawa N, Fukazawa Y, Shigemoto R. 2012. Mechanisms
underlying signal filtering at a multisynapse contact. Journal of Neuroscience.
32(7), 2357–2376.
mla: Budisantoso, Timotheus, et al. “Mechanisms Underlying Signal Filtering at a
Multisynapse Contact.” Journal of Neuroscience, vol. 32, no. 7, Society
for Neuroscience, 2012, pp. 2357–76, doi:10.1523/JNEUROSCI.5243-11.2012.
short: T. Budisantoso, K. Matsui, N. Kamasawa, Y. Fukazawa, R. Shigemoto, Journal
of Neuroscience 32 (2012) 2357–2376.
date_created: 2018-12-11T11:58:07Z
date_published: 2012-02-15T00:00:00Z
date_updated: 2021-01-12T06:57:57Z
day: '15'
doi: 10.1523/JNEUROSCI.5243-11.2012
extern: 1
intvolume: ' 32'
issue: '7'
month: '02'
page: 2357 - 2376
publication: Journal of Neuroscience
publication_status: published
publisher: Society for Neuroscience
publist_id: '4387'
quality_controlled: 0
status: public
title: Mechanisms underlying signal filtering at a multisynapse contact
type: journal_article
volume: 32
year: '2012'
...
---
_id: '2689'
abstract:
- lang: eng
text: R-type calcium channels (RTCCs) are well known for their role in synaptic
plasticity, but little is known about their subcellular distribution across various
neuronal compartments. Using subtype-specific antibodies, we characterized the
regional and subcellular localization of Ca v2.3 in mice and rats at both light
and electron microscopic levels. Ca v2.3 immunogold particles were found to be
predominantly presynaptic in the interpeduncular nucleus, but postsynaptic in
other brain regions. Serial section analysis of electron microscopic images from
the hippocampal CA1 revealed a higher density of immunogold particles in the dendritic
shaft plasma membrane compared with the pyramidal cell somata. However, the labeling
densities were not significantly different among the apical, oblique, or basal
dendrites. Immunogold particles were also observed over the plasma membrane of
dendritic spines, including both synaptic and extrasynaptic sites. Individual
spine heads contained <20 immunogold particles, with an average density of
~260 immunoparticles per μm 3 spine head volume, in accordance with the density
of RTCCs estimated using calcium imaging (Sabatini and Svoboda, 2000). The Ca
v2.3 density was variable among similar-sized spine heads and did not correlate
with the density in the parent dendrite, implying that spines are individual calcium
compartments operating autonomously from their parent dendrites.
author:
- first_name: Laxmi
full_name: Parajuli, Laxmi K
last_name: Parajuli
- first_name: Chikako
full_name: Nakajima, Chikako
last_name: Nakajima
- first_name: Ákos
full_name: Kulik, Ákos
last_name: Kulik
- first_name: Ko
full_name: Matsui, Ko
last_name: Matsui
- first_name: Toni
full_name: Schneider, Toni
last_name: Schneider
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: Yugo
full_name: Fukazawa, Yugo
last_name: Fukazawa
citation:
ama: Parajuli L, Nakajima C, Kulik Á, et al. Quantitative regional and ultra structural
localization of the Ca v2 3 subunit of R type calcium channel in mouse brain.
Journal of Neuroscience. 2012;32(39):13555-13567. doi:10.1523/JNEUROSCI.1142-12.2012
apa: Parajuli, L., Nakajima, C., Kulik, Á., Matsui, K., Schneider, T., Shigemoto,
R., & Fukazawa, Y. (2012). Quantitative regional and ultra structural localization
of the Ca v2 3 subunit of R type calcium channel in mouse brain. Journal of
Neuroscience. Society for Neuroscience. https://doi.org/10.1523/JNEUROSCI.1142-12.2012
chicago: Parajuli, Laxmi, Chikako Nakajima, Ákos Kulik, Ko Matsui, Toni Schneider,
Ryuichi Shigemoto, and Yugo Fukazawa. “Quantitative Regional and Ultra Structural
Localization of the Ca v2 3 Subunit of R Type Calcium Channel in Mouse Brain.”
Journal of Neuroscience. Society for Neuroscience, 2012. https://doi.org/10.1523/JNEUROSCI.1142-12.2012.
ieee: L. Parajuli et al., “Quantitative regional and ultra structural localization
of the Ca v2 3 subunit of R type calcium channel in mouse brain,” Journal of
Neuroscience, vol. 32, no. 39. Society for Neuroscience, pp. 13555–13567,
2012.
ista: Parajuli L, Nakajima C, Kulik Á, Matsui K, Schneider T, Shigemoto R, Fukazawa
Y. 2012. Quantitative regional and ultra structural localization of the Ca v2
3 subunit of R type calcium channel in mouse brain. Journal of Neuroscience. 32(39),
13555–13567.
mla: Parajuli, Laxmi, et al. “Quantitative Regional and Ultra Structural Localization
of the Ca v2 3 Subunit of R Type Calcium Channel in Mouse Brain.” Journal of
Neuroscience, vol. 32, no. 39, Society for Neuroscience, 2012, pp. 13555–67,
doi:10.1523/JNEUROSCI.1142-12.2012.
short: L. Parajuli, C. Nakajima, Á. Kulik, K. Matsui, T. Schneider, R. Shigemoto,
Y. Fukazawa, Journal of Neuroscience 32 (2012) 13555–13567.
date_created: 2018-12-11T11:59:05Z
date_published: 2012-09-26T00:00:00Z
date_updated: 2021-01-12T06:59:04Z
day: '26'
doi: 10.1523/JNEUROSCI.1142-12.2012
extern: 1
intvolume: ' 32'
issue: '39'
month: '09'
page: 13555 - 13567
publication: Journal of Neuroscience
publication_status: published
publisher: Society for Neuroscience
publist_id: '4208'
quality_controlled: 0
status: public
title: Quantitative regional and ultra structural localization of the Ca v2 3 subunit
of R type calcium channel in mouse brain
type: journal_article
volume: 32
year: '2012'
...
---
_id: '2687'
abstract:
- lang: eng
text: Left-right asymmetry of human brain function has been known for a century,
although much of molecular and cellular basis of brain laterality remains to be
elusive. Recent studies suggest that hippocampal CA3-CA1 excitatory synapses are
asymmetrically arranged, however, the functional implication of the asymmetrical
circuitry has not been studied at the behavioral level. In order to address the
left-right asymmetry of hippocampal function in behaving mice, we analyzed the
performance of "split-brain" mice in the Barnes maze. The "split-brain"
mice received ventral hippocampal commissure and corpus callosum transection in
addition to deprivation of visual input from one eye. In such mice, the hippocampus
in the side of visual deprivation receives sensory-driven input. Better spatial
task performance was achieved by the mice which were forced to use the right hippocampus
than those which were forced to use the left hippocampus. In two-choice spatial
maze, forced usage of left hippocampus resulted in a comparable performance to
the right counterpart, suggesting that both hippocampal hemispheres are capable
of conducting spatial learning. Therefore, the results obtained from the Barnes
maze suggest that the usage of the right hippocampus improves the accuracy of
spatial memory. Performance of non-spatial yet hippocampus-dependent tasks (e.g.
fear conditioning) was not influenced by the laterality of the hippocampus.
author:
- first_name: Yoshiaki
full_name: Shinohara, Yoshiaki
last_name: Shinohara
- first_name: Aki
full_name: Hosoya, Aki
last_name: Hosoya
- first_name: Nobuyuki
full_name: Yamasaki, Nobuyuki
last_name: Yamasaki
- first_name: Hassan
full_name: Ahmed, Hassan
last_name: Ahmed
- first_name: Satoko
full_name: Hattori, Satoko
last_name: Hattori
- first_name: Megumi
full_name: Eguchi, Megumi
last_name: Eguchi
- first_name: Shun
full_name: Yamaguchi, Shun
last_name: Yamaguchi
- first_name: Tsuyoshi
full_name: Miyakawa, Tsuyoshi
last_name: Miyakawa
- first_name: Hajime
full_name: Hirase, Hajime
last_name: Hirase
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
citation:
ama: Shinohara Y, Hosoya A, Yamasaki N, et al. Right-hemispheric dominance of spatial
memory in split-brain mice. Hippocampus. 2012;22(2):117-121. doi:10.1002/hipo.20886
apa: Shinohara, Y., Hosoya, A., Yamasaki, N., Ahmed, H., Hattori, S., Eguchi, M.,
… Shigemoto, R. (2012). Right-hemispheric dominance of spatial memory in split-brain
mice. Hippocampus. Wiley-Blackwell. https://doi.org/10.1002/hipo.20886
chicago: Shinohara, Yoshiaki, Aki Hosoya, Nobuyuki Yamasaki, Hassan Ahmed, Satoko
Hattori, Megumi Eguchi, Shun Yamaguchi, Tsuyoshi Miyakawa, Hajime Hirase, and
Ryuichi Shigemoto. “Right-Hemispheric Dominance of Spatial Memory in Split-Brain
Mice.” Hippocampus. Wiley-Blackwell, 2012. https://doi.org/10.1002/hipo.20886.
ieee: Y. Shinohara et al., “Right-hemispheric dominance of spatial memory
in split-brain mice,” Hippocampus, vol. 22, no. 2. Wiley-Blackwell, pp.
117–121, 2012.
ista: Shinohara Y, Hosoya A, Yamasaki N, Ahmed H, Hattori S, Eguchi M, Yamaguchi
S, Miyakawa T, Hirase H, Shigemoto R. 2012. Right-hemispheric dominance of spatial
memory in split-brain mice. Hippocampus. 22(2), 117–121.
mla: Shinohara, Yoshiaki, et al. “Right-Hemispheric Dominance of Spatial Memory
in Split-Brain Mice.” Hippocampus, vol. 22, no. 2, Wiley-Blackwell, 2012,
pp. 117–21, doi:10.1002/hipo.20886.
short: Y. Shinohara, A. Hosoya, N. Yamasaki, H. Ahmed, S. Hattori, M. Eguchi, S.
Yamaguchi, T. Miyakawa, H. Hirase, R. Shigemoto, Hippocampus 22 (2012) 117–121.
date_created: 2018-12-11T11:59:04Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:59:03Z
day: '01'
doi: 10.1002/hipo.20886
extern: 1
intvolume: ' 22'
issue: '2'
month: '01'
page: 117 - 121
publication: Hippocampus
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4210'
quality_controlled: 0
status: public
title: Right-hemispheric dominance of spatial memory in split-brain mice
type: journal_article
volume: 22
year: '2012'
...
---
_id: '2688'
abstract:
- lang: eng
text: To gain insights into structure-function relationship of excitatory synapses,
we revisit our quantitative analysis of synaptic AMPAR by highly sensitive freeze-fracture
replica labeling in eight different connections. All of these connections showed
linear correlation between synapse size and AMPAR number indicating a common intra-synapse-type
relationship in CNS synapses. On the contrary, inter-synapse-type relationship
is unexpected indicating no correlation between averages of synapse size and AMPAR
number. Interestingly, connections with large average synapse size and low AMPAR
density showed high variability of AMPAR number and mosaic distribution within
the postsynaptic membrane. We propose an idea that these connections may quickly
exhibit synaptic plasticity by modifying AMPAR density/number whereas those with
high AMPAR density change their efficacy by modifying synapse size.
author:
- first_name: Yugo
full_name: Fukazawa, Yugo
last_name: Fukazawa
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
citation:
ama: Fukazawa Y, Shigemoto R. Intra-synapse-type and inter-synapse-type relationships
between synaptic size and AMPAR expression. Current Opinion in Neurobiology.
2012;22(3):446-452. doi:10.1016/j.conb.2012.01.006
apa: Fukazawa, Y., & Shigemoto, R. (2012). Intra-synapse-type and inter-synapse-type
relationships between synaptic size and AMPAR expression. Current Opinion in
Neurobiology. Elsevier. https://doi.org/10.1016/j.conb.2012.01.006
chicago: Fukazawa, Yugo, and Ryuichi Shigemoto. “Intra-Synapse-Type and Inter-Synapse-Type
Relationships between Synaptic Size and AMPAR Expression.” Current Opinion
in Neurobiology. Elsevier, 2012. https://doi.org/10.1016/j.conb.2012.01.006.
ieee: Y. Fukazawa and R. Shigemoto, “Intra-synapse-type and inter-synapse-type relationships
between synaptic size and AMPAR expression,” Current Opinion in Neurobiology,
vol. 22, no. 3. Elsevier, pp. 446–452, 2012.
ista: Fukazawa Y, Shigemoto R. 2012. Intra-synapse-type and inter-synapse-type relationships
between synaptic size and AMPAR expression. Current Opinion in Neurobiology. 22(3),
446–452.
mla: Fukazawa, Yugo, and Ryuichi Shigemoto. “Intra-Synapse-Type and Inter-Synapse-Type
Relationships between Synaptic Size and AMPAR Expression.” Current Opinion
in Neurobiology, vol. 22, no. 3, Elsevier, 2012, pp. 446–52, doi:10.1016/j.conb.2012.01.006.
short: Y. Fukazawa, R. Shigemoto, Current Opinion in Neurobiology 22 (2012) 446–452.
date_created: 2018-12-11T11:59:04Z
date_published: 2012-06-01T00:00:00Z
date_updated: 2021-01-12T06:59:03Z
day: '01'
doi: 10.1016/j.conb.2012.01.006
extern: 1
intvolume: ' 22'
issue: '3'
month: '06'
page: 446 - 452
publication: Current Opinion in Neurobiology
publication_status: published
publisher: Elsevier
publist_id: '4209'
quality_controlled: 0
status: public
title: Intra-synapse-type and inter-synapse-type relationships between synaptic size
and AMPAR expression
type: journal_article
volume: 22
year: '2012'
...
---
_id: '2696'
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
citation:
ama: Erdös L. Universality for random matrices and log-gases. ArXiv. 2012.
apa: Erdös, L. (2012). Universality for random matrices and log-gases. ArXiv.
ArXiv.
chicago: Erdös, László. “Universality for Random Matrices and Log-Gases.” ArXiv.
ArXiv, 2012.
ieee: L. Erdös, “Universality for random matrices and log-gases,” ArXiv.
ArXiv, 2012.
ista: Erdös L. 2012. Universality for random matrices and log-gases. ArXiv, .
mla: Erdös, László. “Universality for Random Matrices and Log-Gases.” ArXiv,
ArXiv, 2012.
short: L. Erdös, ArXiv (2012).
date_created: 2018-12-11T11:59:07Z
date_published: 2012-12-04T00:00:00Z
date_updated: 2021-01-12T06:59:06Z
day: '04'
extern: 1
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1212.0839
month: '12'
oa: 1
publication: ArXiv
publication_status: published
publisher: ArXiv
publist_id: '4201'
quality_controlled: 0
status: public
title: Universality for random matrices and log-gases
type: preprint
year: '2012'
...
---
_id: '2700'
alternative_title:
- Quantum Theory from Small to Large Scales
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
citation:
ama: 'Erdös L. Lecture notes on quantum Brownian motion. In: Vol 95. Oxford University
Press; 2012:3-98.'
apa: Erdös, L. (2012). Lecture notes on quantum Brownian motion (Vol. 95, pp. 3–98).
Presented at the Les Houches Summer School 2010, Oxford University Press.
chicago: Erdös, László. “Lecture Notes on Quantum Brownian Motion,” 95:3–98. Oxford
University Press, 2012.
ieee: L. Erdös, “Lecture notes on quantum Brownian motion,” presented at the Les
Houches Summer School 2010, 2012, vol. 95, pp. 3–98.
ista: Erdös L. 2012. Lecture notes on quantum Brownian motion. Les Houches Summer
School 2010, Quantum Theory from Small to Large Scales, vol. 95, 3–98.
mla: Erdös, László. Lecture Notes on Quantum Brownian Motion. Vol. 95, Oxford
University Press, 2012, pp. 3–98.
short: L. Erdös, in:, Oxford University Press, 2012, pp. 3–98.
conference:
name: Les Houches Summer School 2010
date_created: 2018-12-11T11:59:08Z
date_published: 2012-05-24T00:00:00Z
date_updated: 2021-01-12T06:59:08Z
day: '24'
extern: 1
intvolume: ' 95'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1009.0843
month: '05'
oa: 1
page: 3 - 98
publication_status: published
publisher: Oxford University Press
publist_id: '4196'
quality_controlled: 0
status: public
title: Lecture notes on quantum Brownian motion
type: conference
volume: 95
year: '2012'
...
---
_id: '2715'
abstract:
- lang: eng
text: 'We consider Markov decision processes (MDPs) with specifications given as
Büchi (liveness) objectives. We consider the problem of computing the set of almost-sure
winning vertices from where the objective can be ensured with probability 1. We
study for the first time the average case complexity of the classical algorithm
for computing the set of almost-sure winning vertices for MDPs with Büchi objectives.
Our contributions are as follows: First, we show that for MDPs with constant out-degree
the expected number of iterations is at most logarithmic and the average case
running time is linear (as compared to the worst case linear number of iterations
and quadratic time complexity). Second, for the average case analysis over all
MDPs we show that the expected number of iterations is constant and the average
case running time is linear (again as compared to the worst case linear number
of iterations and quadratic time complexity). Finally we also show that given
that all MDPs are equally likely, the probability that the classical algorithm
requires more than constant number of iterations is exponentially small.'
alternative_title:
- LIPIcs
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Manas
full_name: Joglekar, Manas
last_name: Joglekar
- first_name: Nisarg
full_name: Shah, Nisarg
last_name: Shah
citation:
ama: 'Chatterjee K, Joglekar M, Shah N. Average case analysis of the classical algorithm
for Markov decision processes with Büchi objectives. In: Vol 18. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik; 2012:461-473. doi:10.4230/LIPIcs.FSTTCS.2012.461'
apa: 'Chatterjee, K., Joglekar, M., & Shah, N. (2012). Average case analysis
of the classical algorithm for Markov decision processes with Büchi objectives
(Vol. 18, pp. 461–473). Presented at the FSTTCS: Foundations of Software Technology
and Theoretical Computer Science, Hyderabad, India: Schloss Dagstuhl - Leibniz-Zentrum
für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461'
chicago: Chatterjee, Krishnendu, Manas Joglekar, and Nisarg Shah. “Average Case
Analysis of the Classical Algorithm for Markov Decision Processes with Büchi Objectives,”
18:461–73. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2012. https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461.
ieee: 'K. Chatterjee, M. Joglekar, and N. Shah, “Average case analysis of the classical
algorithm for Markov decision processes with Büchi objectives,” presented at the
FSTTCS: Foundations of Software Technology and Theoretical Computer Science, Hyderabad,
India, 2012, vol. 18, pp. 461–473.'
ista: 'Chatterjee K, Joglekar M, Shah N. 2012. Average case analysis of the classical
algorithm for Markov decision processes with Büchi objectives. FSTTCS: Foundations
of Software Technology and Theoretical Computer Science, LIPIcs, vol. 18, 461–473.'
mla: Chatterjee, Krishnendu, et al. Average Case Analysis of the Classical Algorithm
for Markov Decision Processes with Büchi Objectives. Vol. 18, Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2012, pp. 461–73, doi:10.4230/LIPIcs.FSTTCS.2012.461.
short: K. Chatterjee, M. Joglekar, N. Shah, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2012, pp. 461–473.
conference:
end_date: 2012-12-17
location: Hyderabad, India
name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science'
start_date: 2012-12-15
date_created: 2018-12-11T11:59:13Z
date_published: 2012-12-10T00:00:00Z
date_updated: 2023-02-23T10:06:04Z
day: '10'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.FSTTCS.2012.461
ec_funded: 1
file:
- access_level: open_access
checksum: d4d644ed1a885dbfc4fa1ef4c5724dab
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:13:53Z
date_updated: 2020-07-14T12:45:45Z
file_id: '5040'
file_name: IST-2016-525-v1+1_42_1_.pdf
file_size: 519040
relation: main_file
file_date_updated: 2020-07-14T12:45:45Z
has_accepted_license: '1'
intvolume: ' 18'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 461 - 473
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '4180'
pubrep_id: '525'
quality_controlled: '1'
related_material:
record:
- id: '1598'
relation: later_version
status: public
scopus_import: 1
status: public
title: Average case analysis of the classical algorithm for Markov decision processes
with Büchi objectives
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2012'
...
---
_id: '10904'
abstract:
- lang: eng
text: Multi-dimensional mean-payoff and energy games provide the mathematical foundation
for the quantitative study of reactive systems, and play a central role in the
emerging quantitative theory of verification and synthesis. In this work, we study
the strategy synthesis problem for games with such multi-dimensional objectives
along with a parity condition, a canonical way to express ω-regular conditions.
While in general, the winning strategies in such games may require infinite memory,
for synthesis the most relevant problem is the construction of a finite-memory
winning strategy (if one exists). Our main contributions are as follows. First,
we show a tight exponential bound (matching upper and lower bounds) on the memory
required for finite-memory winning strategies in both multi-dimensional mean-payoff
and energy games along with parity objectives. This significantly improves the
triple exponential upper bound for multi energy games (without parity) that could
be derived from results in literature for games on VASS (vector addition systems
with states). Second, we present an optimal symbolic and incremental algorithm
to compute a finite-memory winning strategy (if one exists) in such games. Finally,
we give a complete characterization of when finite memory of strategies can be
traded off for randomness. In particular, we show that for one-dimension mean-payoff
parity games, randomized memoryless strategies are as powerful as their pure finite-memory
counterparts.
acknowledgement: 'Author supported by Austrian Science Fund (FWF) Grant No P 23499-N23,
FWF NFN Grant No S11407 (RiSE), ERC Start Grant (279307: Graph Games), Microsoft
faculty fellowship.'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Mickael
full_name: Randour, Mickael
last_name: Randour
- first_name: Jean-François
full_name: Raskin, Jean-François
last_name: Raskin
citation:
ama: 'Chatterjee K, Randour M, Raskin J-F. Strategy synthesis for multi-dimensional
quantitative objectives. In: Koutny M, Ulidowski I, eds. CONCUR 2012 - Concurrency
Theory. Vol 7454. Berlin, Heidelberg: Springer; 2012:115-131. doi:10.1007/978-3-642-32940-1_10'
apa: 'Chatterjee, K., Randour, M., & Raskin, J.-F. (2012). Strategy synthesis
for multi-dimensional quantitative objectives. In M. Koutny & I. Ulidowski
(Eds.), CONCUR 2012 - Concurrency Theory (Vol. 7454, pp. 115–131). Berlin,
Heidelberg: Springer. https://doi.org/10.1007/978-3-642-32940-1_10'
chicago: 'Chatterjee, Krishnendu, Mickael Randour, and Jean-François Raskin. “Strategy
Synthesis for Multi-Dimensional Quantitative Objectives.” In CONCUR 2012 -
Concurrency Theory, edited by Maciej Koutny and Irek Ulidowski, 7454:115–31.
Berlin, Heidelberg: Springer, 2012. https://doi.org/10.1007/978-3-642-32940-1_10.'
ieee: K. Chatterjee, M. Randour, and J.-F. Raskin, “Strategy synthesis for multi-dimensional
quantitative objectives,” in CONCUR 2012 - Concurrency Theory, Newcastle
upon Tyne, United Kingdom, 2012, vol. 7454, pp. 115–131.
ista: 'Chatterjee K, Randour M, Raskin J-F. 2012. Strategy synthesis for multi-dimensional
quantitative objectives. CONCUR 2012 - Concurrency Theory. CONCUR: Conference
on Concurrency Theory, LNCS, vol. 7454, 115–131.'
mla: Chatterjee, Krishnendu, et al. “Strategy Synthesis for Multi-Dimensional Quantitative
Objectives.” CONCUR 2012 - Concurrency Theory, edited by Maciej Koutny
and Irek Ulidowski, vol. 7454, Springer, 2012, pp. 115–31, doi:10.1007/978-3-642-32940-1_10.
short: K. Chatterjee, M. Randour, J.-F. Raskin, in:, M. Koutny, I. Ulidowski (Eds.),
CONCUR 2012 - Concurrency Theory, Springer, Berlin, Heidelberg, 2012, pp. 115–131.
conference:
end_date: 2012-09-07
location: Newcastle upon Tyne, United Kingdom
name: 'CONCUR: Conference on Concurrency Theory'
start_date: 2012-09-04
date_created: 2022-03-21T08:00:21Z
date_published: 2012-09-15T00:00:00Z
date_updated: 2023-02-23T10:55:06Z
day: '15'
department:
- _id: KrCh
doi: 10.1007/978-3-642-32940-1_10
ec_funded: 1
editor:
- first_name: Maciej
full_name: Koutny, Maciej
last_name: Koutny
- first_name: Irek
full_name: Ulidowski, Irek
last_name: Ulidowski
external_id:
arxiv:
- '1201.5073'
intvolume: ' 7454'
language:
- iso: eng
month: '09'
oa_version: Preprint
page: 115-131
place: Berlin, Heidelberg
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: CONCUR 2012 - Concurrency Theory
publication_identifier:
eisbn:
- '9783642329401'
isbn:
- '9783642329395'
issn:
- 0302-9743
- 1611-3349
publication_status: published
publisher: Springer
quality_controlled: '1'
related_material:
record:
- id: '2716'
relation: later_version
status: public
scopus_import: '1'
status: public
title: Strategy synthesis for multi-dimensional quantitative objectives
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7454
year: '2012'
...
---
_id: '2770'
abstract:
- lang: eng
text: 'Consider N×N Hermitian or symmetric random matrices H with independent entries,
where the distribution of the (i,j) matrix element is given by the probability
measure vij with zero expectation and with variance σ ιj 2. We assume that the
variances satisfy the normalization condition Σiσij2=1 for all j and that there
is a positive constant c such that c≤Nσ ιj 2 ιc -1. We further assume that the
probability distributions νij have a uniform subexponential decay. We prove that
the Stieltjes transform of the empirical eigenvalue distribution of H is given
by the Wigner semicircle law uniformly up to the edges of the spectrum with an
error of order (Nη) -1 where η is the imaginary part of the spectral parameter
in the Stieltjes transform. There are three corollaries to this strong local semicircle
law: (1) Rigidity of eigenvalues: If γj=γj,N denotes the classical location of
the j-th eigenvalue under the semicircle law ordered in increasing order, then
the j-th eigenvalue λj is close to γj in the sense that for some positive constants
C, c P{double-struck}(∃j:|λ j-γ j|≥(logN) CloglogN[min(j,N-j+1)] -1/3N -2/3)≤
C exp[-(logN) cloglogN] for N large enough. (2) The proof of Dyson''s conjecture
(Dyson, 1962 [15]) which states that the time scale of the Dyson Brownian motion
to reach local equilibrium is of order N -1 up to logarithmic corrections. (3)
The edge universality holds in the sense that the probability distributions of
the largest (and the smallest) eigenvalues of two generalized Wigner ensembles
are the same in the large N limit provided that the second moments of the two
ensembles are identical.'
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
- first_name: Jun
full_name: Yin, Jun
last_name: Yin
citation:
ama: Erdös L, Yau H, Yin J. Rigidity of eigenvalues of generalized Wigner matrices.
Advances in Mathematics. 2012;229(3):1435-1515. doi:10.1016/j.aim.2011.12.010
apa: Erdös, L., Yau, H., & Yin, J. (2012). Rigidity of eigenvalues of generalized
Wigner matrices. Advances in Mathematics. Academic Press. https://doi.org/10.1016/j.aim.2011.12.010
chicago: Erdös, László, Horng Yau, and Jun Yin. “Rigidity of Eigenvalues of Generalized
Wigner Matrices.” Advances in Mathematics. Academic Press, 2012. https://doi.org/10.1016/j.aim.2011.12.010.
ieee: L. Erdös, H. Yau, and J. Yin, “Rigidity of eigenvalues of generalized Wigner
matrices,” Advances in Mathematics, vol. 229, no. 3. Academic Press, pp.
1435–1515, 2012.
ista: Erdös L, Yau H, Yin J. 2012. Rigidity of eigenvalues of generalized Wigner
matrices. Advances in Mathematics. 229(3), 1435–1515.
mla: Erdös, László, et al. “Rigidity of Eigenvalues of Generalized Wigner Matrices.”
Advances in Mathematics, vol. 229, no. 3, Academic Press, 2012, pp. 1435–515,
doi:10.1016/j.aim.2011.12.010.
short: L. Erdös, H. Yau, J. Yin, Advances in Mathematics 229 (2012) 1435–1515.
date_created: 2018-12-11T11:59:30Z
date_published: 2012-02-15T00:00:00Z
date_updated: 2021-01-12T06:59:35Z
day: '15'
doi: 10.1016/j.aim.2011.12.010
extern: 1
intvolume: ' 229'
issue: '3'
month: '02'
page: 1435 - 1515
publication: Advances in Mathematics
publication_status: published
publisher: Academic Press
publist_id: '4120'
quality_controlled: 0
status: public
title: Rigidity of eigenvalues of generalized Wigner matrices
type: journal_article
volume: 229
year: '2012'
...
---
_id: '2769'
abstract:
- lang: eng
text: We present a generalization of the method of the local relaxation flow to
establish the universality of local spectral statistics of a broad class of large
random matrices. We show that the local distribution of the eigenvalues coincides
with the local statistics of the corresponding Gaussian ensemble provided the
distribution of the individual matrix element is smooth and the eigenvalues {X
J} N j=1 are close to their classical location {y j} N j=1 determined by the limiting
density of eigenvalues. Under the scaling where the typical distance between neighboring
eigenvalues is of order 1/N, the necessary apriori estimate on the location of
eigenvalues requires only to know that E|x j - γ j| 2 ≤ N-1-ε on average. This
information can be obtained by well established methods for various matrix ensembles.
We demonstrate the method by proving local spectral universality for sample covariance
matrices.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
- first_name: Jun
full_name: Yin, Jun
last_name: Yin
citation:
ama: Erdös L, Schlein B, Yau H, Yin J. The local relaxation flow approach to universality
of the local statistics for random matrices. Annales de l’institut Henri Poincare
(B) Probability and Statistics. 2012;48(1):1-46. doi:10.1214/10-AIHP388
apa: Erdös, L., Schlein, B., Yau, H., & Yin, J. (2012). The local relaxation
flow approach to universality of the local statistics for random matrices. Annales
de l’institut Henri Poincare (B) Probability and Statistics. Institute of
Mathematical Statistics. https://doi.org/10.1214/10-AIHP388
chicago: Erdös, László, Benjamin Schlein, Horng Yau, and Jun Yin. “The Local Relaxation
Flow Approach to Universality of the Local Statistics for Random Matrices.” Annales
de l’institut Henri Poincare (B) Probability and Statistics. Institute of
Mathematical Statistics, 2012. https://doi.org/10.1214/10-AIHP388.
ieee: L. Erdös, B. Schlein, H. Yau, and J. Yin, “The local relaxation flow approach
to universality of the local statistics for random matrices,” Annales de l’institut
Henri Poincare (B) Probability and Statistics, vol. 48, no. 1. Institute of
Mathematical Statistics, pp. 1–46, 2012.
ista: Erdös L, Schlein B, Yau H, Yin J. 2012. The local relaxation flow approach
to universality of the local statistics for random matrices. Annales de l’institut
Henri Poincare (B) Probability and Statistics. 48(1), 1–46.
mla: Erdös, László, et al. “The Local Relaxation Flow Approach to Universality of
the Local Statistics for Random Matrices.” Annales de l’institut Henri Poincare
(B) Probability and Statistics, vol. 48, no. 1, Institute of Mathematical
Statistics, 2012, pp. 1–46, doi:10.1214/10-AIHP388.
short: L. Erdös, B. Schlein, H. Yau, J. Yin, Annales de l’institut Henri Poincare
(B) Probability and Statistics 48 (2012) 1–46.
date_created: 2018-12-11T11:59:30Z
date_published: 2012-02-01T00:00:00Z
date_updated: 2021-01-12T06:59:34Z
day: '01'
doi: 10.1214/10-AIHP388
extern: 1
intvolume: ' 48'
issue: '1'
month: '02'
page: 1 - 46
publication: Annales de l'institut Henri Poincare (B) Probability and Statistics
publication_status: published
publisher: Institute of Mathematical Statistics
publist_id: '4121'
quality_controlled: 0
status: public
title: The local relaxation flow approach to universality of the local statistics
for random matrices
type: journal_article
volume: 48
year: '2012'
...
---
_id: '2767'
abstract:
- lang: eng
text: 'Consider N × N Hermitian or symmetric random matrices H where the distribution
of the (i, j) matrix element is given by a probability measure ν ij with a subexponential
decay. Let σ ij 2 be the variance for the probability measure ν ij with the normalization
property that Σ iσ i,j 2 = 1 for all j. Under essentially the only condition that
c ≤ N σ ij 2 ≤ c -1 for some constant c > 0, we prove that, in the limit N
→ ∞, the eigenvalue spacing statistics of H in the bulk of the spectrum coincide
with those of the Gaussian unitary or orthogonal ensemble (GUE or GOE). We also
show that for band matrices with bandwidth M the local semicircle law holds to
the energy scale M -1. '
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
- first_name: Jun
full_name: Yin, Jun
last_name: Yin
citation:
ama: Erdös L, Yau H, Yin J. Bulk universality for generalized Wigner matrices. Probability
Theory and Related Fields. 2012;154(1-2):341-407. doi:10.1007/s00440-011-0390-3
apa: Erdös, L., Yau, H., & Yin, J. (2012). Bulk universality for generalized
Wigner matrices. Probability Theory and Related Fields. Springer. https://doi.org/10.1007/s00440-011-0390-3
chicago: Erdös, László, Horng Yau, and Jun Yin. “Bulk Universality for Generalized
Wigner Matrices.” Probability Theory and Related Fields. Springer, 2012.
https://doi.org/10.1007/s00440-011-0390-3.
ieee: L. Erdös, H. Yau, and J. Yin, “Bulk universality for generalized Wigner matrices,”
Probability Theory and Related Fields, vol. 154, no. 1–2. Springer, pp.
341–407, 2012.
ista: Erdös L, Yau H, Yin J. 2012. Bulk universality for generalized Wigner matrices.
Probability Theory and Related Fields. 154(1–2), 341–407.
mla: Erdös, László, et al. “Bulk Universality for Generalized Wigner Matrices.”
Probability Theory and Related Fields, vol. 154, no. 1–2, Springer, 2012,
pp. 341–407, doi:10.1007/s00440-011-0390-3.
short: L. Erdös, H. Yau, J. Yin, Probability Theory and Related Fields 154 (2012)
341–407.
date_created: 2018-12-11T11:59:29Z
date_published: 2012-10-01T00:00:00Z
date_updated: 2021-01-12T06:59:33Z
day: '01'
doi: 10.1007/s00440-011-0390-3
extern: 1
intvolume: ' 154'
issue: 1-2
month: '10'
page: 341 - 407
publication: Probability Theory and Related Fields
publication_status: published
publisher: Springer
publist_id: '4123'
quality_controlled: 0
status: public
title: Bulk universality for generalized Wigner matrices
type: journal_article
volume: 154
year: '2012'
...
---
_id: '2768'
abstract:
- lang: eng
text: We consider a two dimensional magnetic Schrödinger operator with a spatially
stationary random magnetic field. We assume that the magnetic field has a positive
lower bound and that it has Fourier modes on arbitrarily short scales. We prove
the Wegner estimate at arbitrary energy, i. e. we show that the averaged density
of states is finite throughout the whole spectrum. We also prove Anderson localization
at the bottom of the spectrum.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: David
full_name: Hasler, David G
last_name: Hasler
citation:
ama: Erdös L, Hasler D. Wegner estimate and Anderson localization for random magnetic
fields. Communications in Mathematical Physics. 2012;309(2):507-542. doi:10.1007/s00220-011-1373-z
apa: Erdös, L., & Hasler, D. (2012). Wegner estimate and Anderson localization
for random magnetic fields. Communications in Mathematical Physics. Springer.
https://doi.org/10.1007/s00220-011-1373-z
chicago: Erdös, László, and David Hasler. “Wegner Estimate and Anderson Localization
for Random Magnetic Fields.” Communications in Mathematical Physics. Springer,
2012. https://doi.org/10.1007/s00220-011-1373-z.
ieee: L. Erdös and D. Hasler, “Wegner estimate and Anderson localization for random
magnetic fields,” Communications in Mathematical Physics, vol. 309, no.
2. Springer, pp. 507–542, 2012.
ista: Erdös L, Hasler D. 2012. Wegner estimate and Anderson localization for random
magnetic fields. Communications in Mathematical Physics. 309(2), 507–542.
mla: Erdös, László, and David Hasler. “Wegner Estimate and Anderson Localization
for Random Magnetic Fields.” Communications in Mathematical Physics, vol.
309, no. 2, Springer, 2012, pp. 507–42, doi:10.1007/s00220-011-1373-z.
short: L. Erdös, D. Hasler, Communications in Mathematical Physics 309 (2012) 507–542.
date_created: 2018-12-11T11:59:30Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:59:34Z
day: '01'
doi: 10.1007/s00220-011-1373-z
extern: 1
intvolume: ' 309'
issue: '2'
month: '01'
page: 507 - 542
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4122'
quality_controlled: 0
status: public
title: Wegner estimate and Anderson localization for random magnetic fields
type: journal_article
volume: 309
year: '2012'
...
---
_id: '2775'
abstract:
- lang: eng
text: The Wigner-Dyson-Gaudin-Mehta conjecture asserts that the local eigenvalue
statistics of large random matrices exhibit universal behavior depending only
on the symmetry class of the matrix ensemble. For invariant matrix models, the
eigenvalue distributions are given by a log-gas with potential V and inverse temperature
β = 1, 2, 4, corresponding to the orthogonal, unitary and symplectic ensembles.
For β ∉ {1, 2, 4}, there is no natural random matrix ensemble behind this model,
but the statistical physics interpretation of the log-gas is still valid for all
β > 0. The universality conjecture for invariant ensembles asserts that the
local eigenvalue statistics are independent of V. In this article, we review our
recent solution to the universality conjecture for both invariant and non-invariant
ensembles. We will also demonstrate that the local ergodicity of the Dyson Brownian
motion is the intrinsic mechanism behind the universality. Furthermore, we review
the solution of Dyson's conjecture on the local relaxation time of the Dyson Brownian
motion. Related questions such as delocalization of eigenvectors and local version
of Wigner's semicircle law will also be discussed.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
citation:
ama: Erdös L, Yau H. Universality of local spectral statistics of random matrices.
Bulletin of the American Mathematical Society. 2012;49(3):377-414. doi:10.1090/S0273-0979-2012-01372-1
apa: Erdös, L., & Yau, H. (2012). Universality of local spectral statistics
of random matrices. Bulletin of the American Mathematical Society. American
Mathematical Society. https://doi.org/10.1090/S0273-0979-2012-01372-1
chicago: Erdös, László, and Horng Yau. “Universality of Local Spectral Statistics
of Random Matrices.” Bulletin of the American Mathematical Society. American
Mathematical Society, 2012. https://doi.org/10.1090/S0273-0979-2012-01372-1.
ieee: L. Erdös and H. Yau, “Universality of local spectral statistics of random
matrices,” Bulletin of the American Mathematical Society, vol. 49, no.
3. American Mathematical Society, pp. 377–414, 2012.
ista: Erdös L, Yau H. 2012. Universality of local spectral statistics of random
matrices. Bulletin of the American Mathematical Society. 49(3), 377–414.
mla: Erdös, László, and Horng Yau. “Universality of Local Spectral Statistics of
Random Matrices.” Bulletin of the American Mathematical Society, vol. 49,
no. 3, American Mathematical Society, 2012, pp. 377–414, doi:10.1090/S0273-0979-2012-01372-1.
short: L. Erdös, H. Yau, Bulletin of the American Mathematical Society 49 (2012)
377–414.
date_created: 2018-12-11T11:59:32Z
date_published: 2012-01-30T00:00:00Z
date_updated: 2021-01-12T06:59:36Z
day: '30'
doi: 10.1090/S0273-0979-2012-01372-1
extern: 1
intvolume: ' 49'
issue: '3'
month: '01'
page: 377 - 414
publication: Bulletin of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '4115'
quality_controlled: 0
status: public
title: Universality of local spectral statistics of random matrices
type: journal_article
volume: 49
year: '2012'
...
---
_id: '2777'
abstract:
- lang: eng
text: We consider a large neutral molecule with total nuclear charge Z in a model
with self-generated classical magnetic field and where the kinetic energy of the
electrons is treated relativistically. To ensure stability, we assume that Zα
< 2/π, where α denotes the fine structure constant. We are interested in the
ground state energy in the simultaneous limit Z → ∞, α → 0 such that κ = Zα is
fixed. The leading term in the energy asymptotics is independent of κ, it is given
by the Thomas-Fermi energy of order Z7/3 and it is unchanged by including the
self-generated magnetic field. We prove the first correction term to this energy,
the so-called Scott correction of the form S(αZ)Z2. The current paper extends
the result of Solovej et al. [Commun. Pure Appl. Math.LXIII, 39-118 (2010)] on
the Scott correction for relativistic molecules to include a self-generated magnetic
field. Furthermore, we show that the corresponding Scott correction function S,
first identified by Solovej et al. [Commun. Pure Appl. Math.LXIII, 39-118 (2010)],
is unchanged by including a magnetic field. We also prove new Lieb-Thirring inequalities
for the relativistic kinetic energy with magnetic fields.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Søren
full_name: Fournais, Søren
last_name: Fournais
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
citation:
ama: Erdös L, Fournais S, Solovej J. Relativistic Scott correction in self-generated
magnetic fields. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.3697417
apa: Erdös, L., Fournais, S., & Solovej, J. (2012). Relativistic Scott correction
in self-generated magnetic fields. Journal of Mathematical Physics. American
Institute of Physics. https://doi.org/10.1063/1.3697417
chicago: Erdös, László, Søren Fournais, and Jan Solovej. “Relativistic Scott Correction
in Self-Generated Magnetic Fields.” Journal of Mathematical Physics. American
Institute of Physics, 2012. https://doi.org/10.1063/1.3697417.
ieee: L. Erdös, S. Fournais, and J. Solovej, “Relativistic Scott correction in self-generated
magnetic fields,” Journal of Mathematical Physics, vol. 53, no. 9. American
Institute of Physics, 2012.
ista: Erdös L, Fournais S, Solovej J. 2012. Relativistic Scott correction in self-generated
magnetic fields. Journal of Mathematical Physics. 53(9).
mla: Erdös, László, et al. “Relativistic Scott Correction in Self-Generated Magnetic
Fields.” Journal of Mathematical Physics, vol. 53, no. 9, American Institute
of Physics, 2012, doi:10.1063/1.3697417.
short: L. Erdös, S. Fournais, J. Solovej, Journal of Mathematical Physics 53 (2012).
date_created: 2018-12-11T11:59:32Z
date_published: 2012-09-28T00:00:00Z
date_updated: 2021-01-12T06:59:37Z
day: '28'
doi: 10.1063/1.3697417
extern: 1
intvolume: ' 53'
issue: '9'
month: '09'
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '4113'
quality_controlled: 0
status: public
title: Relativistic Scott correction in self-generated magnetic fields
type: journal_article
volume: 53
year: '2012'
...
---
_id: '2772'
abstract:
- lang: eng
text: We consider the semiclassical asymptotics of the sum of negative eigenvalues
of the three-dimensional Pauli operator with an external potential and a self-generated
magnetic field B. We also add the field energy β ∫ B 2 and we minimize over all
magnetic fields. The parameter β effectively determines the strength of the field.
We consider the weak field regime with βh 2 ≥ const > 0, where h is the semiclassical
parameter. For smooth potentials we prove that the semiclassical asymptotics of
the total energy is given by the non-magnetic Weyl term to leading order with
an error bound that is smaller by a factor h 1+e{open}, i. e. the subleading term
vanishes. However for potentials with a Coulomb singularity, the subleading term
does not vanish due to the non-semiclassical effect of the singularity. Combined
with a multiscale technique, this refined estimate is used in the companion paper
(Erdo{double acute}s et al. in Scott correction for large molecules with a self-generated
magnetic field, Preprint, 2011) to prove the second order Scott correction to
the ground state energy of large atoms and molecules.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Søren
full_name: Fournais, Søren
last_name: Fournais
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
citation:
ama: Erdös L, Fournais S, Solovej J. Second order semiclassics with self generated
magnetic fields. Annales Henri Poincare. 2012;13(4):671-730. doi:10.1007/s00023-011-0150-z
apa: Erdös, L., Fournais, S., & Solovej, J. (2012). Second order semiclassics
with self generated magnetic fields. Annales Henri Poincare. Birkhäuser.
https://doi.org/10.1007/s00023-011-0150-z
chicago: Erdös, László, Søren Fournais, and Jan Solovej. “Second Order Semiclassics
with Self Generated Magnetic Fields.” Annales Henri Poincare. Birkhäuser,
2012. https://doi.org/10.1007/s00023-011-0150-z.
ieee: L. Erdös, S. Fournais, and J. Solovej, “Second order semiclassics with self
generated magnetic fields,” Annales Henri Poincare, vol. 13, no. 4. Birkhäuser,
pp. 671–730, 2012.
ista: Erdös L, Fournais S, Solovej J. 2012. Second order semiclassics with self
generated magnetic fields. Annales Henri Poincare. 13(4), 671–730.
mla: Erdös, László, et al. “Second Order Semiclassics with Self Generated Magnetic
Fields.” Annales Henri Poincare, vol. 13, no. 4, Birkhäuser, 2012, pp.
671–730, doi:10.1007/s00023-011-0150-z.
short: L. Erdös, S. Fournais, J. Solovej, Annales Henri Poincare 13 (2012) 671–730.
date_created: 2018-12-11T11:59:31Z
date_published: 2012-05-01T00:00:00Z
date_updated: 2021-01-12T06:59:36Z
day: '01'
doi: 10.1007/s00023-011-0150-z
extern: 1
intvolume: ' 13'
issue: '4'
month: '05'
page: 671 - 730
publication: Annales Henri Poincare
publication_status: published
publisher: Birkhäuser
publist_id: '4118'
quality_controlled: 0
status: public
title: Second order semiclassics with self generated magnetic fields
type: journal_article
volume: 13
year: '2012'
...
---
_id: '2776'
abstract:
- lang: eng
text: We consider the ensemble of adjacency matrices of Erdős-Rényi random graphs,
i.e. graphs on N vertices where every edge is chosen independently and with probability
p ≡ p(N). We rescale the matrix so that its bulk eigenvalues are of order one.
Under the assumption pN≫N2/3 , we prove the universality of eigenvalue distributions
both in the bulk and at the edge of the spectrum. More precisely, we prove (1)
that the eigenvalue spacing of the Erdős-Rényi graph in the bulk of the spectrum
has the same distribution as that of the Gaussian orthogonal ensemble; and (2)
that the second largest eigenvalue of the Erdős-Rényi graph has the same distribution
as the largest eigenvalue of the Gaussian orthogonal ensemble. As an application
of our method, we prove the bulk universality of generalized Wigner matrices under
the assumption that the matrix entries have at least 4 + ε moments.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Antti
full_name: Knowles, Antti
last_name: Knowles
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
- first_name: Jun
full_name: Yin, Jun
last_name: Yin
citation:
ama: 'Erdös L, Knowles A, Yau H, Yin J. Spectral statistics of Erdős-Rényi graphs
II: Eigenvalue spacing and the extreme eigenvalues. Communications in Mathematical
Physics. 2012;314(3):587-640. doi:10.1007/s00220-012-1527-7'
apa: 'Erdös, L., Knowles, A., Yau, H., & Yin, J. (2012). Spectral statistics
of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues. Communications
in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-012-1527-7'
chicago: 'Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “Spectral Statistics
of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues.” Communications
in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1527-7.'
ieee: 'L. Erdös, A. Knowles, H. Yau, and J. Yin, “Spectral statistics of Erdős-Rényi
graphs II: Eigenvalue spacing and the extreme eigenvalues,” Communications
in Mathematical Physics, vol. 314, no. 3. Springer, pp. 587–640, 2012.'
ista: 'Erdös L, Knowles A, Yau H, Yin J. 2012. Spectral statistics of Erdős-Rényi
graphs II: Eigenvalue spacing and the extreme eigenvalues. Communications in Mathematical
Physics. 314(3), 587–640.'
mla: 'Erdös, László, et al. “Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue
Spacing and the Extreme Eigenvalues.” Communications in Mathematical Physics,
vol. 314, no. 3, Springer, 2012, pp. 587–640, doi:10.1007/s00220-012-1527-7.'
short: L. Erdös, A. Knowles, H. Yau, J. Yin, Communications in Mathematical Physics
314 (2012) 587–640.
date_created: 2018-12-11T11:59:32Z
date_published: 2012-09-01T00:00:00Z
date_updated: 2021-01-12T06:59:37Z
day: '01'
doi: 10.1007/s00220-012-1527-7
extern: 1
intvolume: ' 314'
issue: '3'
month: '09'
page: 587 - 640
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4114'
quality_controlled: 0
status: public
title: 'Spectral statistics of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme
eigenvalues'
type: journal_article
volume: 314
year: '2012'
...
---
_id: '2774'
abstract:
- lang: eng
text: We consider a large neutral molecule with total nuclear charge Z in non-relativistic
quantum mechanics with a self-generated classical electromagnetic field. To ensure
stability, we assume that Zα 2 ≤ κ 0 for a sufficiently small κ 0, where α denotes
the fine structure constant. We show that, in the simultaneous limit Z → ∞, α
→ 0 such that κ = Zα 2 is fixed, the ground state energy of the system is given
by a two term expansion c 1Z 7/3 + c 2(κ) Z 2 + o(Z 2). The leading term is given
by the non-magnetic Thomas-Fermi theory. Our result shows that the magnetic field
affects only the second (so-called Scott) term in the expansion.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Søren
full_name: Fournais, Søren
last_name: Fournais
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
citation:
ama: Erdös L, Fournais S, Solovej J. Scott correction for large atoms and molecules
in a self-generated magnetic field. Communications in Mathematical Physics.
2012;312(3):847-882. doi:10.1007/s00220-012-1468-1
apa: Erdös, L., Fournais, S., & Solovej, J. (2012). Scott correction for large
atoms and molecules in a self-generated magnetic field. Communications in Mathematical
Physics. Springer. https://doi.org/10.1007/s00220-012-1468-1
chicago: Erdös, László, Søren Fournais, and Jan Solovej. “Scott Correction for Large
Atoms and Molecules in a Self-Generated Magnetic Field.” Communications in
Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1468-1.
ieee: L. Erdös, S. Fournais, and J. Solovej, “Scott correction for large atoms and
molecules in a self-generated magnetic field,” Communications in Mathematical
Physics, vol. 312, no. 3. Springer, pp. 847–882, 2012.
ista: Erdös L, Fournais S, Solovej J. 2012. Scott correction for large atoms and
molecules in a self-generated magnetic field. Communications in Mathematical Physics.
312(3), 847–882.
mla: Erdös, László, et al. “Scott Correction for Large Atoms and Molecules in a
Self-Generated Magnetic Field.” Communications in Mathematical Physics,
vol. 312, no. 3, Springer, 2012, pp. 847–82, doi:10.1007/s00220-012-1468-1.
short: L. Erdös, S. Fournais, J. Solovej, Communications in Mathematical Physics
312 (2012) 847–882.
date_created: 2018-12-11T11:59:31Z
date_published: 2012-06-01T00:00:00Z
date_updated: 2021-01-12T06:59:36Z
day: '01'
doi: 10.1007/s00220-012-1468-1
extern: 1
intvolume: ' 312'
issue: '3'
month: '06'
page: 847 - 882
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4116'
quality_controlled: 0
status: public
title: Scott correction for large atoms and molecules in a self-generated magnetic
field
type: journal_article
volume: 312
year: '2012'
...
---
_id: '2773'
abstract:
- lang: eng
text: Recently we proved [3, 4, 6, 7, 9, 10, 11] that the eigenvalue correlation
functions of a general class of random matrices converge, weakly with respect
to the energy, to the corresponding ones of Gaussian matrices. Tao and Vu [15]
gave a proof that for the special case of Hermitian Wigner matrices the convergence
can be strengthened to vague convergence at any fixed energy in the bulk. In this
article we show that this theorem is an immediate corollary of our earlier results.
Indeed, a more general form of this theorem also follows directly from our work
[2].
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
citation:
ama: Erdös L, Yau H. A comment on the Wigner-Dyson-Mehta bulk universality conjecture
for Wigner matrices. Electronic Journal of Probability. 2012;17. doi:10.1214/EJP.v17-1779
apa: Erdös, L., & Yau, H. (2012). A comment on the Wigner-Dyson-Mehta bulk universality
conjecture for Wigner matrices. Electronic Journal of Probability. Institute
of Mathematical Statistics. https://doi.org/10.1214/EJP.v17-1779
chicago: Erdös, László, and Horng Yau. “A Comment on the Wigner-Dyson-Mehta Bulk
Universality Conjecture for Wigner Matrices.” Electronic Journal of Probability.
Institute of Mathematical Statistics, 2012. https://doi.org/10.1214/EJP.v17-1779.
ieee: L. Erdös and H. Yau, “A comment on the Wigner-Dyson-Mehta bulk universality
conjecture for Wigner matrices,” Electronic Journal of Probability, vol.
17. Institute of Mathematical Statistics, 2012.
ista: Erdös L, Yau H. 2012. A comment on the Wigner-Dyson-Mehta bulk universality
conjecture for Wigner matrices. Electronic Journal of Probability. 17.
mla: Erdös, László, and Horng Yau. “A Comment on the Wigner-Dyson-Mehta Bulk Universality
Conjecture for Wigner Matrices.” Electronic Journal of Probability, vol.
17, Institute of Mathematical Statistics, 2012, doi:10.1214/EJP.v17-1779.
short: L. Erdös, H. Yau, Electronic Journal of Probability 17 (2012).
date_created: 2018-12-11T11:59:31Z
date_published: 2012-04-10T00:00:00Z
date_updated: 2021-01-12T06:59:36Z
day: '10'
doi: 10.1214/EJP.v17-1779
extern: 1
intvolume: ' 17'
month: '04'
publication: Electronic Journal of Probability
publication_status: published
publisher: Institute of Mathematical Statistics
publist_id: '4117'
quality_controlled: 0
status: public
title: A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner
matrices
type: journal_article
volume: 17
year: '2012'
...
---
_id: '2771'
abstract:
- lang: eng
text: We consider a magnetic Schrödinger operator in two dimensions. The magnetic
field is given as the sum of a large and constant magnetic field and a random
magnetic field. Moreover, we allow for an additional deterministic potential as
well as a magnetic field which are both periodic. We show that the spectrum of
this operator is contained in broadened bands around the Landau levels and that
the edges of these bands consist of pure point spectrum with exponentially decaying
eigenfunctions. The proof is based on a recent Wegner estimate obtained in Erdos
and Hasler (Commun. Math. Phys., preprint, arXiv:1012.5185) and a multiscale analysis.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: David
full_name: Hasler, David G
last_name: Hasler
citation:
ama: Erdös L, Hasler D. Anderson localization at band edges for random magnetic
fields. Journal of Statistical Physics. 2012;146(5):900-923. doi:10.1007/s10955-012-0445-6
apa: Erdös, L., & Hasler, D. (2012). Anderson localization at band edges for
random magnetic fields. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-012-0445-6
chicago: Erdös, László, and David Hasler. “Anderson Localization at Band Edges for
Random Magnetic Fields.” Journal of Statistical Physics. Springer, 2012.
https://doi.org/10.1007/s10955-012-0445-6.
ieee: L. Erdös and D. Hasler, “Anderson localization at band edges for random magnetic
fields,” Journal of Statistical Physics, vol. 146, no. 5. Springer, pp.
900–923, 2012.
ista: Erdös L, Hasler D. 2012. Anderson localization at band edges for random magnetic
fields. Journal of Statistical Physics. 146(5), 900–923.
mla: Erdös, László, and David Hasler. “Anderson Localization at Band Edges for Random
Magnetic Fields.” Journal of Statistical Physics, vol. 146, no. 5, Springer,
2012, pp. 900–23, doi:10.1007/s10955-012-0445-6.
short: L. Erdös, D. Hasler, Journal of Statistical Physics 146 (2012) 900–923.
date_created: 2018-12-11T11:59:31Z
date_published: 2012-03-01T00:00:00Z
date_updated: 2021-01-12T06:59:35Z
day: '01'
doi: 10.1007/s10955-012-0445-6
extern: 1
intvolume: ' 146'
issue: '5'
month: '03'
page: 900 - 923
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '4119'
quality_controlled: 0
status: public
title: Anderson localization at band edges for random magnetic fields
type: journal_article
volume: 146
year: '2012'
...
---
_id: '2778'
abstract:
- lang: eng
text: We prove the bulk universality of the β-ensembles with non-convex regular
analytic potentials for any β > 0. This removes the convexity assumption appeared
in the earlier work [P. Bourgade, L. Erdös, and H.-T. Yau, Universality of general
β-ensembles, preprint arXiv:0907.5605 (2011)]. The convexity condition enabled
us to use the logarithmic Sobolev inequality to estimate events with small probability.
The new idea is to introduce a "convexified measure" so that the local
statistics are preserved under this convexification.
author:
- first_name: Paul
full_name: Bourgade, Paul
last_name: Bourgade
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
citation:
ama: Bourgade P, Erdös L, Yau H. Bulk universality of general β-ensembles with non-convex
potential. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.4751478
apa: Bourgade, P., Erdös, L., & Yau, H. (2012). Bulk universality of general
β-ensembles with non-convex potential. Journal of Mathematical Physics.
American Institute of Physics. https://doi.org/10.1063/1.4751478
chicago: Bourgade, Paul, László Erdös, and Horng Yau. “Bulk Universality of General
β-Ensembles with Non-Convex Potential.” Journal of Mathematical Physics.
American Institute of Physics, 2012. https://doi.org/10.1063/1.4751478.
ieee: P. Bourgade, L. Erdös, and H. Yau, “Bulk universality of general β-ensembles
with non-convex potential,” Journal of Mathematical Physics, vol. 53, no.
9. American Institute of Physics, 2012.
ista: Bourgade P, Erdös L, Yau H. 2012. Bulk universality of general β-ensembles
with non-convex potential. Journal of Mathematical Physics. 53(9).
mla: Bourgade, Paul, et al. “Bulk Universality of General β-Ensembles with Non-Convex
Potential.” Journal of Mathematical Physics, vol. 53, no. 9, American Institute
of Physics, 2012, doi:10.1063/1.4751478.
short: P. Bourgade, L. Erdös, H. Yau, Journal of Mathematical Physics 53 (2012).
date_created: 2018-12-11T11:59:33Z
date_published: 2012-09-28T00:00:00Z
date_updated: 2021-01-12T06:59:38Z
day: '28'
doi: 10.1063/1.4751478
extern: 1
intvolume: ' 53'
issue: '9'
month: '09'
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '4112'
quality_controlled: 0
status: public
title: Bulk universality of general β-ensembles with non-convex potential
type: journal_article
volume: 53
year: '2012'
...