---
_id: '721'
abstract:
- lang: eng
text: 'Let S be a positivity-preserving symmetric linear operator acting on bounded
functions. The nonlinear equation -1/m=z+Sm with a parameter z in the complex
upper half-plane ℍ has a unique solution m with values in ℍ. We show that the
z-dependence of this solution can be represented as the Stieltjes transforms of
a family of probability measures v on ℝ. Under suitable conditions on S, we show
that v has a real analytic density apart from finitely many algebraic singularities
of degree at most 3. Our motivation comes from large random matrices. The solution
m determines the density of eigenvalues of two prominent matrix ensembles: (i)
matrices with centered independent entries whose variances are given by S and
(ii) matrices with correlated entries with a translation-invariant correlation
structure. Our analysis shows that the limiting eigenvalue density has only square
root singularities or cubic root cusps; no other singularities occur.'
author:
- first_name: Oskari H
full_name: Ajanki, Oskari H
id: 36F2FB7E-F248-11E8-B48F-1D18A9856A87
last_name: Ajanki
- first_name: Torben H
full_name: Krüger, Torben H
id: 3020C786-F248-11E8-B48F-1D18A9856A87
last_name: Krüger
orcid: 0000-0002-4821-3297
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
citation:
ama: Ajanki OH, Krüger TH, Erdös L. Singularities of solutions to quadratic vector
equations on the complex upper half plane. Communications on Pure and Applied
Mathematics. 2017;70(9):1672-1705. doi:10.1002/cpa.21639
apa: Ajanki, O. H., Krüger, T. H., & Erdös, L. (2017). Singularities of solutions
to quadratic vector equations on the complex upper half plane. Communications
on Pure and Applied Mathematics. Wiley-Blackwell. https://doi.org/10.1002/cpa.21639
chicago: Ajanki, Oskari H, Torben H Krüger, and László Erdös. “Singularities of
Solutions to Quadratic Vector Equations on the Complex Upper Half Plane.” Communications
on Pure and Applied Mathematics. Wiley-Blackwell, 2017. https://doi.org/10.1002/cpa.21639.
ieee: O. H. Ajanki, T. H. Krüger, and L. Erdös, “Singularities of solutions to quadratic
vector equations on the complex upper half plane,” Communications on Pure and
Applied Mathematics, vol. 70, no. 9. Wiley-Blackwell, pp. 1672–1705, 2017.
ista: Ajanki OH, Krüger TH, Erdös L. 2017. Singularities of solutions to quadratic
vector equations on the complex upper half plane. Communications on Pure and Applied
Mathematics. 70(9), 1672–1705.
mla: Ajanki, Oskari H., et al. “Singularities of Solutions to Quadratic Vector Equations
on the Complex Upper Half Plane.” Communications on Pure and Applied Mathematics,
vol. 70, no. 9, Wiley-Blackwell, 2017, pp. 1672–705, doi:10.1002/cpa.21639.
short: O.H. Ajanki, T.H. Krüger, L. Erdös, Communications on Pure and Applied Mathematics
70 (2017) 1672–1705.
date_created: 2018-12-11T11:48:08Z
date_published: 2017-09-01T00:00:00Z
date_updated: 2021-01-12T08:12:24Z
day: '01'
department:
- _id: LaEr
doi: 10.1002/cpa.21639
ec_funded: 1
intvolume: ' 70'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1512.03703
month: '09'
oa: 1
oa_version: Submitted Version
page: 1672 - 1705
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '338804'
name: Random matrices, universality and disordered quantum systems
publication: Communications on Pure and Applied Mathematics
publication_identifier:
issn:
- '00103640'
publication_status: published
publisher: Wiley-Blackwell
publist_id: '6959'
quality_controlled: '1'
scopus_import: 1
status: public
title: Singularities of solutions to quadratic vector equations on the complex upper
half plane
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 70
year: '2017'
...
---
_id: '722'
abstract:
- lang: eng
text: Plants are sessile organisms rooted in one place. The soil resources that
plants require are often distributed in a highly heterogeneous pattern. To aid
foraging, plants have evolved roots whose growth and development are highly responsive
to soil signals. As a result, 3D root architecture is shaped by myriad environmental
signals to ensure resource capture is optimised and unfavourable environments
are avoided. The first signals sensed by newly germinating seeds — gravity and
light — direct root growth into the soil to aid seedling establishment. Heterogeneous
soil resources, such as water, nitrogen and phosphate, also act as signals that
shape 3D root growth to optimise uptake. Root architecture is also modified through
biotic interactions that include soil fungi and neighbouring plants. This developmental
plasticity results in a ‘custom-made’ 3D root system that is best adapted to forage
for resources in each soil environment that a plant colonises.
author:
- first_name: Emily
full_name: Morris, Emily
last_name: Morris
- first_name: Marcus
full_name: Griffiths, Marcus
last_name: Griffiths
- first_name: Agata
full_name: Golebiowska, Agata
last_name: Golebiowska
- first_name: Stefan
full_name: Mairhofer, Stefan
last_name: Mairhofer
- first_name: Jasmine
full_name: Burr Hersey, Jasmine
last_name: Burr Hersey
- first_name: Tatsuaki
full_name: Goh, Tatsuaki
last_name: Goh
- first_name: Daniel
full_name: Von Wangenheim, Daniel
id: 49E91952-F248-11E8-B48F-1D18A9856A87
last_name: Von Wangenheim
orcid: 0000-0002-6862-1247
- first_name: Brian
full_name: Atkinson, Brian
last_name: Atkinson
- first_name: Craig
full_name: Sturrock, Craig
last_name: Sturrock
- first_name: Jonathan
full_name: Lynch, Jonathan
last_name: Lynch
- first_name: Kris
full_name: Vissenberg, Kris
last_name: Vissenberg
- first_name: Karl
full_name: Ritz, Karl
last_name: Ritz
- first_name: Darren
full_name: Wells, Darren
last_name: Wells
- first_name: Sacha
full_name: Mooney, Sacha
last_name: Mooney
- first_name: Malcolm
full_name: Bennett, Malcolm
last_name: Bennett
citation:
ama: Morris E, Griffiths M, Golebiowska A, et al. Shaping 3D root system architecture.
Current Biology. 2017;27(17):R919-R930. doi:10.1016/j.cub.2017.06.043
apa: Morris, E., Griffiths, M., Golebiowska, A., Mairhofer, S., Burr Hersey, J.,
Goh, T., … Bennett, M. (2017). Shaping 3D root system architecture. Current
Biology. Cell Press. https://doi.org/10.1016/j.cub.2017.06.043
chicago: Morris, Emily, Marcus Griffiths, Agata Golebiowska, Stefan Mairhofer, Jasmine
Burr Hersey, Tatsuaki Goh, Daniel von Wangenheim, et al. “Shaping 3D Root System
Architecture.” Current Biology. Cell Press, 2017. https://doi.org/10.1016/j.cub.2017.06.043.
ieee: E. Morris et al., “Shaping 3D root system architecture,” Current
Biology, vol. 27, no. 17. Cell Press, pp. R919–R930, 2017.
ista: Morris E, Griffiths M, Golebiowska A, Mairhofer S, Burr Hersey J, Goh T, von
Wangenheim D, Atkinson B, Sturrock C, Lynch J, Vissenberg K, Ritz K, Wells D,
Mooney S, Bennett M. 2017. Shaping 3D root system architecture. Current Biology.
27(17), R919–R930.
mla: Morris, Emily, et al. “Shaping 3D Root System Architecture.” Current Biology,
vol. 27, no. 17, Cell Press, 2017, pp. R919–30, doi:10.1016/j.cub.2017.06.043.
short: E. Morris, M. Griffiths, A. Golebiowska, S. Mairhofer, J. Burr Hersey, T.
Goh, D. von Wangenheim, B. Atkinson, C. Sturrock, J. Lynch, K. Vissenberg, K.
Ritz, D. Wells, S. Mooney, M. Bennett, Current Biology 27 (2017) R919–R930.
date_created: 2018-12-11T11:48:08Z
date_published: 2017-09-11T00:00:00Z
date_updated: 2021-01-12T08:12:29Z
day: '11'
ddc:
- '581'
department:
- _id: JiFr
doi: 10.1016/j.cub.2017.06.043
ec_funded: 1
external_id:
pmid:
- '28898665'
file:
- access_level: open_access
checksum: e45588b21097b408da6276a3e5eedb2e
content_type: application/pdf
creator: dernst
date_created: 2019-04-17T07:46:40Z
date_updated: 2020-07-14T12:47:54Z
file_id: '6332'
file_name: 2017_CurrentBiology_Morris.pdf
file_size: 1576593
relation: main_file
file_date_updated: 2020-07-14T12:47:54Z
has_accepted_license: '1'
intvolume: ' 27'
issue: '17'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: R919 - R930
pmid: 1
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Current Biology
publication_identifier:
issn:
- '09609822'
publication_status: published
publisher: Cell Press
publist_id: '6956'
pubrep_id: '982'
quality_controlled: '1'
scopus_import: 1
status: public
title: Shaping 3D root system architecture
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: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 27
year: '2017'
...
---
_id: '725'
abstract:
- lang: eng
text: Individual computations and social interactions underlying collective behavior
in groups of animals are of great ethological, behavioral, and theoretical interest.
While complex individual behaviors have successfully been parsed into small dictionaries
of stereotyped behavioral modes, studies of collective behavior largely ignored
these findings; instead, their focus was on inferring single, mode-independent
social interaction rules that reproduced macroscopic and often qualitative features
of group behavior. Here, we bring these two approaches together to predict individual
swimming patterns of adult zebrafish in a group. We show that fish alternate between
an “active” mode, in which they are sensitive to the swimming patterns of conspecifics,
and a “passive” mode, where they ignore them. Using a model that accounts for
these two modes explicitly, we predict behaviors of individual fish with high
accuracy, outperforming previous approaches that assumed a single continuous computation
by individuals and simple metric or topological weighing of neighbors’ behavior.
At the group level, switching between active and passive modes is uncorrelated
among fish, but correlated directional swimming behavior still emerges. Our quantitative
approach for studying complex, multi-modal individual behavior jointly with emergent
group behavior is readily extensible to additional behavioral modes and their
neural correlates as well as to other species.
author:
- first_name: Roy
full_name: Harpaz, Roy
last_name: Harpaz
- first_name: Gasper
full_name: Tkacik, Gasper
id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
last_name: Tkacik
orcid: 0000-0002-6699-1455
- first_name: Elad
full_name: Schneidman, Elad
last_name: Schneidman
citation:
ama: Harpaz R, Tkačik G, Schneidman E. Discrete modes of social information processing
predict individual behavior of fish in a group. PNAS. 2017;114(38):10149-10154.
doi:10.1073/pnas.1703817114
apa: Harpaz, R., Tkačik, G., & Schneidman, E. (2017). Discrete modes of social
information processing predict individual behavior of fish in a group. PNAS.
National Academy of Sciences. https://doi.org/10.1073/pnas.1703817114
chicago: Harpaz, Roy, Gašper Tkačik, and Elad Schneidman. “Discrete Modes of Social
Information Processing Predict Individual Behavior of Fish in a Group.” PNAS.
National Academy of Sciences, 2017. https://doi.org/10.1073/pnas.1703817114.
ieee: R. Harpaz, G. Tkačik, and E. Schneidman, “Discrete modes of social information
processing predict individual behavior of fish in a group,” PNAS, vol.
114, no. 38. National Academy of Sciences, pp. 10149–10154, 2017.
ista: Harpaz R, Tkačik G, Schneidman E. 2017. Discrete modes of social information
processing predict individual behavior of fish in a group. PNAS. 114(38), 10149–10154.
mla: Harpaz, Roy, et al. “Discrete Modes of Social Information Processing Predict
Individual Behavior of Fish in a Group.” PNAS, vol. 114, no. 38, National
Academy of Sciences, 2017, pp. 10149–54, doi:10.1073/pnas.1703817114.
short: R. Harpaz, G. Tkačik, E. Schneidman, PNAS 114 (2017) 10149–10154.
date_created: 2018-12-11T11:48:10Z
date_published: 2017-09-19T00:00:00Z
date_updated: 2021-01-12T08:12:36Z
day: '19'
department:
- _id: GaTk
doi: 10.1073/pnas.1703817114
external_id:
pmid:
- '28874581'
intvolume: ' 114'
issue: '38'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5617265/
month: '09'
oa: 1
oa_version: Submitted Version
page: 10149 - 10154
pmid: 1
publication: PNAS
publication_identifier:
issn:
- '00278424'
publication_status: published
publisher: National Academy of Sciences
publist_id: '6953'
quality_controlled: '1'
scopus_import: 1
status: public
title: Discrete modes of social information processing predict individual behavior
of fish in a group
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 114
year: '2017'
...
---
_id: '724'
abstract:
- lang: eng
text: We investigate the stationary and dynamical behavior of an Anderson localized
chain coupled to a single central bound state. Although this coupling partially
dilutes the Anderson localized peaks towards nearly resonant sites, the most weight
of the original peaks remains unchanged. This leads to multifractal wave functions
with a frozen spectrum of fractal dimensions, which is characteristic for localized
phases in models with power-law hopping. Using a perturbative approach we identify
two different dynamical regimes. At weak couplings to the central site, the transport
of particles and information is logarithmic in time, a feature usually attributed
to many-body localization. We connect such transport to the persistence of the
Poisson statistics of level spacings in parts of the spectrum. In contrast, at
stronger couplings the level repulsion is established in the entire spectrum,
the problem can be mapped to the Fano resonance, and the transport is ballistic.
acknowledgement: "We would like to thank Dmitry Abanin, Christophe De\r\nBeule,
\ Joel Moore, Romain Vasseur, and Norman Yao for\r\nmany stimulating discussions.
\ Financial support has been\r\nprovided by the Deutsche Forschungsgemeinschaft
\ (DFG)\r\nvia Grant No. TR950/8-1, SFB 1170 “ToCoTronics” and the\r\nENB Graduate
\ School on Topological Insulators. M.S. was\r\nsupported by Gordon and Betty
Moore Foundation’s EPiQS\r\nInitiative through Grant No. GBMF4307. F.P. acknowledges\r\nsupport
from the DFG Research Unit FOR 1807 through Grant\r\nNo. PO 1370/2-1."
article_number: '104203'
author:
- first_name: Daniel
full_name: Hetterich, Daniel
last_name: Hetterich
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Fernando
full_name: Domínguez, Fernando
last_name: Domínguez
- first_name: Frank
full_name: Pollmann, Frank
last_name: Pollmann
- first_name: Björn
full_name: Trauzettel, Björn
last_name: Trauzettel
citation:
ama: Hetterich D, Serbyn M, Domínguez F, Pollmann F, Trauzettel B. Noninteracting
central site model localization and logarithmic entanglement growth. Physical
Review B. 2017;96(10). doi:10.1103/PhysRevB.96.104203
apa: Hetterich, D., Serbyn, M., Domínguez, F., Pollmann, F., & Trauzettel, B.
(2017). Noninteracting central site model localization and logarithmic entanglement
growth. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.96.104203
chicago: Hetterich, Daniel, Maksym Serbyn, Fernando Domínguez, Frank Pollmann, and
Björn Trauzettel. “Noninteracting Central Site Model Localization and Logarithmic
Entanglement Growth.” Physical Review B. American Physical Society, 2017.
https://doi.org/10.1103/PhysRevB.96.104203.
ieee: D. Hetterich, M. Serbyn, F. Domínguez, F. Pollmann, and B. Trauzettel, “Noninteracting
central site model localization and logarithmic entanglement growth,” Physical
Review B, vol. 96, no. 10. American Physical Society, 2017.
ista: Hetterich D, Serbyn M, Domínguez F, Pollmann F, Trauzettel B. 2017. Noninteracting
central site model localization and logarithmic entanglement growth. Physical
Review B. 96(10), 104203.
mla: Hetterich, Daniel, et al. “Noninteracting Central Site Model Localization and
Logarithmic Entanglement Growth.” Physical Review B, vol. 96, no. 10, 104203,
American Physical Society, 2017, doi:10.1103/PhysRevB.96.104203.
short: D. Hetterich, M. Serbyn, F. Domínguez, F. Pollmann, B. Trauzettel, Physical
Review B 96 (2017).
date_created: 2018-12-11T11:48:09Z
date_published: 2017-09-13T00:00:00Z
date_updated: 2021-01-12T08:12:35Z
day: '13'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.96.104203
intvolume: ' 96'
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1701.02744
month: '09'
oa: 1
oa_version: Submitted Version
publication: Physical Review B
publication_identifier:
issn:
- '24699950'
publication_status: published
publisher: American Physical Society
publist_id: '6955'
quality_controlled: '1'
scopus_import: 1
status: public
title: Noninteracting central site model localization and logarithmic entanglement
growth
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 96
year: '2017'
...
---
_id: '731'
abstract:
- lang: eng
text: Genetic variations in the oxytocin receptor gene affect patients with ASD
and ADHD differently.
article_number: eaap8168
author:
- first_name: Gaia
full_name: Novarino, Gaia
id: 3E57A680-F248-11E8-B48F-1D18A9856A87
last_name: Novarino
orcid: 0000-0002-7673-7178
citation:
ama: Novarino G. The science of love in ASD and ADHD. Science Translational Medicine.
2017;9(411). doi:10.1126/scitranslmed.aap8168
apa: Novarino, G. (2017). The science of love in ASD and ADHD. Science Translational
Medicine. American Association for the Advancement of Science. https://doi.org/10.1126/scitranslmed.aap8168
chicago: Novarino, Gaia. “The Science of Love in ASD and ADHD.” Science Translational
Medicine. American Association for the Advancement of Science, 2017. https://doi.org/10.1126/scitranslmed.aap8168.
ieee: G. Novarino, “The science of love in ASD and ADHD,” Science Translational
Medicine, vol. 9, no. 411. American Association for the Advancement of Science,
2017.
ista: Novarino G. 2017. The science of love in ASD and ADHD. Science Translational
Medicine. 9(411), eaap8168.
mla: Novarino, Gaia. “The Science of Love in ASD and ADHD.” Science Translational
Medicine, vol. 9, no. 411, eaap8168, American Association for the Advancement
of Science, 2017, doi:10.1126/scitranslmed.aap8168.
short: G. Novarino, Science Translational Medicine 9 (2017).
date_created: 2018-12-11T11:48:12Z
date_published: 2017-10-11T00:00:00Z
date_updated: 2021-01-12T08:12:57Z
day: '11'
department:
- _id: GaNo
doi: 10.1126/scitranslmed.aap8168
intvolume: ' 9'
issue: '411'
language:
- iso: eng
month: '10'
oa_version: None
publication: Science Translational Medicine
publication_identifier:
issn:
- '19466234'
publication_status: published
publisher: American Association for the Advancement of Science
publist_id: '6938'
quality_controlled: '1'
scopus_import: 1
status: public
title: The science of love in ASD and ADHD
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2017'
...