---
_id: '1997'
abstract:
- lang: eng
text: We prove that the three-state toric homogeneous Markov chain model has Markov
degree two. In algebraic terminology this means, that a certain class of toric
ideals is generated by quadratic binomials. This was conjectured by Haws, Martin
del Campo, Takemura and Yoshida, who proved that they are generated by degree
six binomials.
author:
- first_name: Patrik
full_name: Noren, Patrik
id: 46870C74-F248-11E8-B48F-1D18A9856A87
last_name: Noren
citation:
ama: Noren P. The three-state toric homogeneous Markov chain model has Markov degree
two. Journal of Symbolic Computation. 2015;68/Part 2(May-June):285-296.
doi:10.1016/j.jsc.2014.09.014
apa: Noren, P. (2015). The three-state toric homogeneous Markov chain model has
Markov degree two. Journal of Symbolic Computation. Elsevier. https://doi.org/10.1016/j.jsc.2014.09.014
chicago: Noren, Patrik. “The Three-State Toric Homogeneous Markov Chain Model Has
Markov Degree Two.” Journal of Symbolic Computation. Elsevier, 2015. https://doi.org/10.1016/j.jsc.2014.09.014.
ieee: P. Noren, “The three-state toric homogeneous Markov chain model has Markov
degree two,” Journal of Symbolic Computation, vol. 68/Part 2, no. May-June.
Elsevier, pp. 285–296, 2015.
ista: Noren P. 2015. The three-state toric homogeneous Markov chain model has Markov
degree two. Journal of Symbolic Computation. 68/Part 2(May-June), 285–296.
mla: Noren, Patrik. “The Three-State Toric Homogeneous Markov Chain Model Has Markov
Degree Two.” Journal of Symbolic Computation, vol. 68/Part 2, no. May-June,
Elsevier, 2015, pp. 285–96, doi:10.1016/j.jsc.2014.09.014.
short: P. Noren, Journal of Symbolic Computation 68/Part 2 (2015) 285–296.
date_created: 2018-12-11T11:55:07Z
date_published: 2015-05-01T00:00:00Z
date_updated: 2021-01-12T06:54:35Z
day: '01'
department:
- _id: CaUh
doi: 10.1016/j.jsc.2014.09.014
issue: May-June
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1207.0077
month: '05'
oa: 1
oa_version: Preprint
page: 285 - 296
publication: Journal of Symbolic Computation
publication_status: published
publisher: Elsevier
publist_id: '5082'
quality_controlled: '1'
scopus_import: 1
status: public
title: The three-state toric homogeneous Markov chain model has Markov degree two
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 68/Part 2
year: '2015'
...
---
_id: '2008'
abstract:
- lang: eng
text: The paper describes a generalized iterative proportional fitting procedure
that can be used for maximum likelihood estimation in a special class of the general
log-linear model. The models in this class, called relational, apply to multivariate
discrete sample spaces that do not necessarily have a Cartesian product structure
and may not contain an overall effect. When applied to the cell probabilities,
the models without the overall effect are curved exponential families and the
values of the sufficient statistics are reproduced by the MLE only up to a constant
of proportionality. The paper shows that Iterative Proportional Fitting, Generalized
Iterative Scaling, and Improved Iterative Scaling fail to work for such models.
The algorithm proposed here is based on iterated Bregman projections. As a by-product,
estimates of the multiplicative parameters are also obtained. An implementation
of the algorithm is available as an R-package.
acknowledgement: Part of the material presented here was contained in the PhD thesis
of the first author to which the second author and Thomas Richardson were advisers.
The authors wish to thank him for several comments and suggestions. We also thank
the reviewers and the Associate Editor for helpful comments. The proof of Proposition 1
uses the idea of Olga Klimova, to whom the authors are also indebted. The second
author was supported in part by Grant K-106154 from the Hungarian National Scientific
Research Fund (OTKA).
author:
- first_name: Anna
full_name: Klimova, Anna
id: 31934120-F248-11E8-B48F-1D18A9856A87
last_name: Klimova
- first_name: Tamás
full_name: Rudas, Tamás
last_name: Rudas
citation:
ama: Klimova A, Rudas T. Iterative scaling in curved exponential families. Scandinavian
Journal of Statistics. 2015;42(3):832-847. doi:10.1111/sjos.12139
apa: Klimova, A., & Rudas, T. (2015). Iterative scaling in curved exponential
families. Scandinavian Journal of Statistics. Wiley. https://doi.org/10.1111/sjos.12139
chicago: Klimova, Anna, and Tamás Rudas. “Iterative Scaling in Curved Exponential
Families.” Scandinavian Journal of Statistics. Wiley, 2015. https://doi.org/10.1111/sjos.12139.
ieee: A. Klimova and T. Rudas, “Iterative scaling in curved exponential families,”
Scandinavian Journal of Statistics, vol. 42, no. 3. Wiley, pp. 832–847,
2015.
ista: Klimova A, Rudas T. 2015. Iterative scaling in curved exponential families.
Scandinavian Journal of Statistics. 42(3), 832–847.
mla: Klimova, Anna, and Tamás Rudas. “Iterative Scaling in Curved Exponential Families.”
Scandinavian Journal of Statistics, vol. 42, no. 3, Wiley, 2015, pp. 832–47,
doi:10.1111/sjos.12139.
short: A. Klimova, T. Rudas, Scandinavian Journal of Statistics 42 (2015) 832–847.
date_created: 2018-12-11T11:55:11Z
date_published: 2015-09-01T00:00:00Z
date_updated: 2021-01-12T06:54:41Z
day: '01'
department:
- _id: CaUh
doi: 10.1111/sjos.12139
intvolume: ' 42'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1307.3282
month: '09'
oa: 1
oa_version: Preprint
page: 832 - 847
publication: Scandinavian Journal of Statistics
publication_status: published
publisher: Wiley
publist_id: '5068'
quality_controlled: '1'
scopus_import: 1
status: public
title: Iterative scaling in curved exponential families
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 42
year: '2015'
...
---
_id: '2006'
abstract:
- lang: eng
text: 'The monotone secant conjecture posits a rich class of polynomial systems,
all of whose solutions are real. These systems come from the Schubert calculus
on flag manifolds, and the monotone secant conjecture is a compelling generalization
of the Shapiro conjecture for Grassmannians (Theorem of Mukhin, Tarasov, and Varchenko).
We present some theoretical evidence for this conjecture, as well as computational
evidence obtained by 1.9 teraHertz-years of computing, and we discuss some of
the phenomena we observed in our data. '
article_processing_charge: No
author:
- first_name: Nicolas
full_name: Hein, Nicolas
last_name: Hein
- first_name: Christopher
full_name: Hillar, Christopher
last_name: Hillar
- first_name: Abraham
full_name: Martin Del Campo Sanchez, Abraham
id: 4CF47F6A-F248-11E8-B48F-1D18A9856A87
last_name: Martin Del Campo Sanchez
- first_name: Frank
full_name: Sottile, Frank
last_name: Sottile
- first_name: Zach
full_name: Teitler, Zach
last_name: Teitler
citation:
ama: Hein N, Hillar C, Martin del Campo Sanchez A, Sottile F, Teitler Z. The monotone
secant conjecture in the real Schubert calculus. Experimental Mathematics.
2015;24(3):261-269. doi:10.1080/10586458.2014.980044
apa: Hein, N., Hillar, C., Martin del Campo Sanchez, A., Sottile, F., & Teitler,
Z. (2015). The monotone secant conjecture in the real Schubert calculus. Experimental
Mathematics. Taylor & Francis. https://doi.org/10.1080/10586458.2014.980044
chicago: Hein, Nicolas, Christopher Hillar, Abraham Martin del Campo Sanchez, Frank
Sottile, and Zach Teitler. “The Monotone Secant Conjecture in the Real Schubert
Calculus.” Experimental Mathematics. Taylor & Francis, 2015. https://doi.org/10.1080/10586458.2014.980044.
ieee: N. Hein, C. Hillar, A. Martin del Campo Sanchez, F. Sottile, and Z. Teitler,
“The monotone secant conjecture in the real Schubert calculus,” Experimental
Mathematics, vol. 24, no. 3. Taylor & Francis, pp. 261–269, 2015.
ista: Hein N, Hillar C, Martin del Campo Sanchez A, Sottile F, Teitler Z. 2015.
The monotone secant conjecture in the real Schubert calculus. Experimental Mathematics.
24(3), 261–269.
mla: Hein, Nicolas, et al. “The Monotone Secant Conjecture in the Real Schubert
Calculus.” Experimental Mathematics, vol. 24, no. 3, Taylor & Francis,
2015, pp. 261–69, doi:10.1080/10586458.2014.980044.
short: N. Hein, C. Hillar, A. Martin del Campo Sanchez, F. Sottile, Z. Teitler,
Experimental Mathematics 24 (2015) 261–269.
date_created: 2018-12-11T11:55:10Z
date_published: 2015-06-23T00:00:00Z
date_updated: 2021-01-12T06:54:40Z
day: '23'
department:
- _id: CaUh
doi: 10.1080/10586458.2014.980044
intvolume: ' 24'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1109.3436
month: '06'
oa: 1
oa_version: Preprint
page: 261 - 269
publication: Experimental Mathematics
publication_status: published
publisher: Taylor & Francis
publist_id: '5070'
quality_controlled: '1'
scopus_import: 1
status: public
title: The monotone secant conjecture in the real Schubert calculus
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 24
year: '2015'
...
---
_id: '2014'
abstract:
- lang: eng
text: The concepts of faithfulness and strong-faithfulness are important for statistical
learning of graphical models. Graphs are not sufficient for describing the association
structure of a discrete distribution. Hypergraphs representing hierarchical log-linear
models are considered instead, and the concept of parametric (strong-) faithfulness
with respect to a hypergraph is introduced. Strong-faithfulness ensures the existence
of uniformly consistent parameter estimators and enables building uniformly consistent
procedures for a hypergraph search. The strength of association in a discrete
distribution can be quantified with various measures, leading to different concepts
of strong-faithfulness. Lower and upper bounds for the proportions of distributions
that do not satisfy strong-faithfulness are computed for different parameterizations
and measures of association.
author:
- first_name: Anna
full_name: Klimova, Anna
id: 31934120-F248-11E8-B48F-1D18A9856A87
last_name: Klimova
- first_name: Caroline
full_name: Uhler, Caroline
id: 49ADD78E-F248-11E8-B48F-1D18A9856A87
last_name: Uhler
orcid: 0000-0002-7008-0216
- first_name: Tamás
full_name: Rudas, Tamás
last_name: Rudas
citation:
ama: Klimova A, Uhler C, Rudas T. Faithfulness and learning hypergraphs from discrete
distributions. Computational Statistics & Data Analysis. 2015;87(7):57-72.
doi:10.1016/j.csda.2015.01.017
apa: Klimova, A., Uhler, C., & Rudas, T. (2015). Faithfulness and learning hypergraphs
from discrete distributions. Computational Statistics & Data Analysis.
Elsevier. https://doi.org/10.1016/j.csda.2015.01.017
chicago: Klimova, Anna, Caroline Uhler, and Tamás Rudas. “Faithfulness and Learning
Hypergraphs from Discrete Distributions.” Computational Statistics & Data
Analysis. Elsevier, 2015. https://doi.org/10.1016/j.csda.2015.01.017.
ieee: A. Klimova, C. Uhler, and T. Rudas, “Faithfulness and learning hypergraphs
from discrete distributions,” Computational Statistics & Data Analysis,
vol. 87, no. 7. Elsevier, pp. 57–72, 2015.
ista: Klimova A, Uhler C, Rudas T. 2015. Faithfulness and learning hypergraphs from
discrete distributions. Computational Statistics & Data Analysis. 87(7), 57–72.
mla: Klimova, Anna, et al. “Faithfulness and Learning Hypergraphs from Discrete
Distributions.” Computational Statistics & Data Analysis, vol. 87,
no. 7, Elsevier, 2015, pp. 57–72, doi:10.1016/j.csda.2015.01.017.
short: A. Klimova, C. Uhler, T. Rudas, Computational Statistics & Data Analysis
87 (2015) 57–72.
date_created: 2018-12-11T11:55:13Z
date_published: 2015-07-01T00:00:00Z
date_updated: 2021-01-12T06:54:43Z
day: '01'
department:
- _id: CaUh
doi: 10.1016/j.csda.2015.01.017
intvolume: ' 87'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1404.6617
month: '07'
oa: 1
oa_version: Preprint
page: 57 - 72
publication: Computational Statistics & Data Analysis
publication_status: published
publisher: Elsevier
publist_id: '5062'
quality_controlled: '1'
scopus_import: 1
status: public
title: Faithfulness and learning hypergraphs from discrete distributions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 87
year: '2015'
...
---
_id: '2025'
abstract:
- lang: eng
text: Small GTP-binding proteins of the Ras superfamily play diverse roles in intracellular
trafficking. Among them, the Rab, Arf, and Rho families function in successive
steps of vesicle transport, in forming vesicles from donor membranes, directing
vesicle trafficking toward target membranes and docking vesicles onto target membranes.
These proteins act as molecular switches that are controlled by a cycle of GTP
binding and hydrolysis regulated by guanine nucleotide exchange factors (GEFs)
and GTPase-activating proteins (GAPs). In this study we explored the role of GAPs
in the regulation of the endocytic pathway using fluorescently labeled yeast mating
pheromone α-factor. Among 25 non-essential GAP mutants, we found that deletion
of the GLO3 gene, encoding Arf-GAP protein, caused defective internalization of
fluorescently labeled α-factor. Quantitative analysis revealed that glo3Δ cells
show defective α-factor binding to the cell surface. Interestingly, Ste2p, the
α-factor receptor, was mis-localized from the plasma membrane to the vacuole in
glo3Δ cells. Domain deletion mutants of Glo3p revealed that a GAP-independent
function, as well as the GAP activity, of Glo3p is important for both α-factor
binding and Ste2p localization at the cell surface. Additionally, we found that
deletion of the GLO3 gene affects the size and number of Arf1p-residing Golgi
compartments and causes a defect in transport from the TGN to the plasma membrane.
Furthermore, we demonstrated that glo3Δ cells were defective in the late endosome-to-TGN
transport pathway, but not in the early endosome-to-TGN transport pathway. These
findings suggest novel roles for Arf-GAP Glo3p in endocytic recycling of cell
surface proteins.
author:
- first_name: Daiki
full_name: Kawada, Daiki
last_name: Kawada
- first_name: Hiromu
full_name: Kobayashi, Hiromu
last_name: Kobayashi
- first_name: Tsuyoshi
full_name: Tomita, Tsuyoshi
last_name: Tomita
- first_name: Eisuke
full_name: Nakata, Eisuke
last_name: Nakata
- first_name: Makoto
full_name: Nagano, Makoto
last_name: Nagano
- first_name: Daria E
full_name: Siekhaus, Daria E
id: 3D224B9E-F248-11E8-B48F-1D18A9856A87
last_name: Siekhaus
orcid: 0000-0001-8323-8353
- first_name: Junko
full_name: Toshima, Junko
last_name: Toshima
- first_name: Jiro
full_name: Toshimaa, Jiro
last_name: Toshimaa
citation:
ama: Kawada D, Kobayashi H, Tomita T, et al. The yeast Arf-GAP Glo3p is required
for the endocytic recycling of cell surface proteins. Biochimica et Biophysica
Acta - Molecular Cell Research. 2015;1853(1):144-156. doi:10.1016/j.bbamcr.2014.10.009
apa: Kawada, D., Kobayashi, H., Tomita, T., Nakata, E., Nagano, M., Siekhaus, D.
E., … Toshimaa, J. (2015). The yeast Arf-GAP Glo3p is required for the endocytic
recycling of cell surface proteins. Biochimica et Biophysica Acta - Molecular
Cell Research. Elsevier. https://doi.org/10.1016/j.bbamcr.2014.10.009
chicago: Kawada, Daiki, Hiromu Kobayashi, Tsuyoshi Tomita, Eisuke Nakata, Makoto
Nagano, Daria E Siekhaus, Junko Toshima, and Jiro Toshimaa. “The Yeast Arf-GAP
Glo3p Is Required for the Endocytic Recycling of Cell Surface Proteins.” Biochimica
et Biophysica Acta - Molecular Cell Research. Elsevier, 2015. https://doi.org/10.1016/j.bbamcr.2014.10.009.
ieee: D. Kawada et al., “The yeast Arf-GAP Glo3p is required for the endocytic
recycling of cell surface proteins,” Biochimica et Biophysica Acta - Molecular
Cell Research, vol. 1853, no. 1. Elsevier, pp. 144–156, 2015.
ista: Kawada D, Kobayashi H, Tomita T, Nakata E, Nagano M, Siekhaus DE, Toshima
J, Toshimaa J. 2015. The yeast Arf-GAP Glo3p is required for the endocytic recycling
of cell surface proteins. Biochimica et Biophysica Acta - Molecular Cell Research.
1853(1), 144–156.
mla: Kawada, Daiki, et al. “The Yeast Arf-GAP Glo3p Is Required for the Endocytic
Recycling of Cell Surface Proteins.” Biochimica et Biophysica Acta - Molecular
Cell Research, vol. 1853, no. 1, Elsevier, 2015, pp. 144–56, doi:10.1016/j.bbamcr.2014.10.009.
short: D. Kawada, H. Kobayashi, T. Tomita, E. Nakata, M. Nagano, D.E. Siekhaus,
J. Toshima, J. Toshimaa, Biochimica et Biophysica Acta - Molecular Cell Research
1853 (2015) 144–156.
date_created: 2018-12-11T11:55:17Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2021-01-12T06:54:48Z
day: '01'
ddc:
- '570'
department:
- _id: DaSi
doi: 10.1016/j.bbamcr.2014.10.009
file:
- access_level: open_access
checksum: 5bb328edebb6a91337cadd7d63f961b7
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:12:18Z
date_updated: 2020-07-14T12:45:25Z
file_id: '4936'
file_name: IST-2016-615-v1+1_BBAMCR.pdf
file_size: 926685
relation: main_file
file_date_updated: 2020-07-14T12:45:25Z
has_accepted_license: '1'
intvolume: ' 1853'
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Submitted Version
page: 144 - 156
publication: Biochimica et Biophysica Acta - Molecular Cell Research
publication_status: published
publisher: Elsevier
publist_id: '5047'
pubrep_id: '615'
quality_controlled: '1'
scopus_import: 1
status: public
title: The yeast Arf-GAP Glo3p is required for the endocytic recycling of cell surface
proteins
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: 1853
year: '2015'
...
---
_id: '2030'
abstract:
- lang: eng
text: A hybrid-parallel direct-numerical-simulation method with application to turbulent
Taylor-Couette flow is presented. The Navier-Stokes equations are discretized
in cylindrical coordinates with the spectral Fourier-Galerkin method in the axial
and azimuthal directions, and high-order finite differences in the radial direction.
Time is advanced by a second-order, semi-implicit projection scheme, which requires
the solution of five Helmholtz/Poisson equations, avoids staggered grids and renders
very small slip velocities. Nonlinear terms are evaluated with the pseudospectral
method. The code is parallelized using a hybrid MPI-OpenMP strategy, which, compared
with a flat MPI parallelization, is simpler to implement, allows to reduce inter-node
communications and MPI overhead that become relevant at high processor-core counts,
and helps to contain the memory footprint. A strong scaling study shows that the
hybrid code maintains scalability up to more than 20,000 processor cores and thus
allows to perform simulations at higher resolutions than previously feasible.
In particular, it opens up the possibility to simulate turbulent Taylor-Couette
flows at Reynolds numbers up to O(105). This enables to probe hydrodynamic turbulence
in Keplerian flows in experimentally relevant regimes.
author:
- first_name: Liang
full_name: Shi, Liang
id: 374A3F1A-F248-11E8-B48F-1D18A9856A87
last_name: Shi
- first_name: Markus
full_name: Rampp, Markus
last_name: Rampp
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
- first_name: Marc
full_name: Avila, Marc
last_name: Avila
citation:
ama: Shi L, Rampp M, Hof B, Avila M. A hybrid MPI-OpenMP parallel implementation
for pseudospectral simulations with application to Taylor-Couette flow. Computers
and Fluids. 2015;106(1):1-11. doi:10.1016/j.compfluid.2014.09.021
apa: Shi, L., Rampp, M., Hof, B., & Avila, M. (2015). A hybrid MPI-OpenMP parallel
implementation for pseudospectral simulations with application to Taylor-Couette
flow. Computers and Fluids. Elsevier. https://doi.org/10.1016/j.compfluid.2014.09.021
chicago: Shi, Liang, Markus Rampp, Björn Hof, and Marc Avila. “A Hybrid MPI-OpenMP
Parallel Implementation for Pseudospectral Simulations with Application to Taylor-Couette
Flow.” Computers and Fluids. Elsevier, 2015. https://doi.org/10.1016/j.compfluid.2014.09.021.
ieee: L. Shi, M. Rampp, B. Hof, and M. Avila, “A hybrid MPI-OpenMP parallel implementation
for pseudospectral simulations with application to Taylor-Couette flow,” Computers
and Fluids, vol. 106, no. 1. Elsevier, pp. 1–11, 2015.
ista: Shi L, Rampp M, Hof B, Avila M. 2015. A hybrid MPI-OpenMP parallel implementation
for pseudospectral simulations with application to Taylor-Couette flow. Computers
and Fluids. 106(1), 1–11.
mla: Shi, Liang, et al. “A Hybrid MPI-OpenMP Parallel Implementation for Pseudospectral
Simulations with Application to Taylor-Couette Flow.” Computers and Fluids,
vol. 106, no. 1, Elsevier, 2015, pp. 1–11, doi:10.1016/j.compfluid.2014.09.021.
short: L. Shi, M. Rampp, B. Hof, M. Avila, Computers and Fluids 106 (2015) 1–11.
date_created: 2018-12-11T11:55:18Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2021-01-12T06:54:51Z
day: '01'
department:
- _id: BjHo
doi: 10.1016/j.compfluid.2014.09.021
intvolume: ' 106'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1311.2481
month: '01'
oa: 1
oa_version: Preprint
page: 1 - 11
publication: Computers and Fluids
publication_status: published
publisher: Elsevier
publist_id: '5042'
quality_controlled: '1'
scopus_import: 1
status: public
title: A hybrid MPI-OpenMP parallel implementation for pseudospectral simulations
with application to Taylor-Couette flow
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 106
year: '2015'
...
---
_id: '2035'
abstract:
- lang: eng
text: "Considering a continuous self-map and the induced endomorphism on homology,
we study the eigenvalues and eigenspaces of the latter. Taking a filtration of
representations, we define the persistence of the eigenspaces, effectively introducing
a hierarchical organization of the map. The algorithm that computes this information
for a finite sample is proved to be stable, and to give the correct answer for
a sufficiently dense sample. Results computed with an implementation of the algorithm
provide evidence of its practical utility.\r\n"
acknowledgement: This research is partially supported by the Toposys project FP7-ICT-318493-STREP,
by ESF under the ACAT Research Network Programme, by the Russian Government under
mega project 11.G34.31.0053, and by the Polish National Science Center under Grant
No. N201 419639.
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Grzegorz
full_name: Jablonski, Grzegorz
id: 4483EF78-F248-11E8-B48F-1D18A9856A87
last_name: Jablonski
orcid: 0000-0002-3536-9866
- first_name: Marian
full_name: Mrozek, Marian
last_name: Mrozek
citation:
ama: Edelsbrunner H, Jablonski G, Mrozek M. The persistent homology of a self-map.
Foundations of Computational Mathematics. 2015;15(5):1213-1244. doi:10.1007/s10208-014-9223-y
apa: Edelsbrunner, H., Jablonski, G., & Mrozek, M. (2015). The persistent homology
of a self-map. Foundations of Computational Mathematics. Springer. https://doi.org/10.1007/s10208-014-9223-y
chicago: Edelsbrunner, Herbert, Grzegorz Jablonski, and Marian Mrozek. “The Persistent
Homology of a Self-Map.” Foundations of Computational Mathematics. Springer,
2015. https://doi.org/10.1007/s10208-014-9223-y.
ieee: H. Edelsbrunner, G. Jablonski, and M. Mrozek, “The persistent homology of
a self-map,” Foundations of Computational Mathematics, vol. 15, no. 5.
Springer, pp. 1213–1244, 2015.
ista: Edelsbrunner H, Jablonski G, Mrozek M. 2015. The persistent homology of a
self-map. Foundations of Computational Mathematics. 15(5), 1213–1244.
mla: Edelsbrunner, Herbert, et al. “The Persistent Homology of a Self-Map.” Foundations
of Computational Mathematics, vol. 15, no. 5, Springer, 2015, pp. 1213–44,
doi:10.1007/s10208-014-9223-y.
short: H. Edelsbrunner, G. Jablonski, M. Mrozek, Foundations of Computational Mathematics
15 (2015) 1213–1244.
date_created: 2018-12-11T11:55:20Z
date_published: 2015-10-01T00:00:00Z
date_updated: 2021-01-12T06:54:53Z
day: '01'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1007/s10208-014-9223-y
ec_funded: 1
file:
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checksum: 3566f3a8b0c1bc550e62914a88c584ff
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creator: system
date_created: 2018-12-12T10:08:10Z
date_updated: 2020-07-14T12:45:26Z
file_id: '4670'
file_name: IST-2016-486-v1+1_s10208-014-9223-y.pdf
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file_date_updated: 2020-07-14T12:45:26Z
has_accepted_license: '1'
intvolume: ' 15'
issue: '5'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 1213 - 1244
project:
- _id: 255D761E-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '318493'
name: Topological Complex Systems
publication: Foundations of Computational Mathematics
publication_status: published
publisher: Springer
publist_id: '5022'
pubrep_id: '486'
quality_controlled: '1'
scopus_import: 1
status: public
title: The persistent homology of a self-map
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2015'
...
---
_id: '2034'
abstract:
- lang: eng
text: Opacity is a generic security property, that has been defined on (non-probabilistic)
transition systems and later on Markov chains with labels. For a secret predicate,
given as a subset of runs, and a function describing the view of an external observer,
the value of interest for opacity is a measure of the set of runs disclosing the
secret. We extend this definition to the richer framework of Markov decision processes,
where non-deterministicchoice is combined with probabilistic transitions, and
we study related decidability problems with partial or complete observation hypotheses
for the schedulers. We prove that all questions are decidable with complete observation
and ω-regular secrets. With partial observation, we prove that all quantitative
questions are undecidable but the question whether a system is almost surely non-opaquebecomes
decidable for a restricted class of ω-regular secrets, as well as for all ω-regular
secrets under finite-memory schedulers.
author:
- first_name: Béatrice
full_name: Bérard, Béatrice
last_name: Bérard
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Nathalie
full_name: Sznajder, Nathalie
last_name: Sznajder
citation:
ama: Bérard B, Chatterjee K, Sznajder N. Probabilistic opacity for Markov decision
processes. Information Processing Letters. 2015;115(1):52-59. doi:10.1016/j.ipl.2014.09.001
apa: Bérard, B., Chatterjee, K., & Sznajder, N. (2015). Probabilistic opacity
for Markov decision processes. Information Processing Letters. Elsevier.
https://doi.org/10.1016/j.ipl.2014.09.001
chicago: Bérard, Béatrice, Krishnendu Chatterjee, and Nathalie Sznajder. “Probabilistic
Opacity for Markov Decision Processes.” Information Processing Letters.
Elsevier, 2015. https://doi.org/10.1016/j.ipl.2014.09.001.
ieee: B. Bérard, K. Chatterjee, and N. Sznajder, “Probabilistic opacity for Markov
decision processes,” Information Processing Letters, vol. 115, no. 1.
Elsevier, pp. 52–59, 2015.
ista: Bérard B, Chatterjee K, Sznajder N. 2015. Probabilistic opacity for Markov
decision processes. Information Processing Letters. 115(1), 52–59.
mla: Bérard, Béatrice, et al. “Probabilistic Opacity for Markov Decision Processes.”
Information Processing Letters, vol. 115, no. 1, Elsevier, 2015, pp. 52–59,
doi:10.1016/j.ipl.2014.09.001.
short: B. Bérard, K. Chatterjee, N. Sznajder, Information Processing Letters 115
(2015) 52–59.
date_created: 2018-12-11T11:55:20Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2021-01-12T06:54:52Z
day: '01'
department:
- _id: KrCh
doi: 10.1016/j.ipl.2014.09.001
ec_funded: 1
intvolume: ' 115'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1407.4225
month: '01'
oa: 1
oa_version: Preprint
page: 52 - 59
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: ' Information Processing Letters'
publication_status: published
publisher: Elsevier
publist_id: '5025'
quality_controlled: '1'
scopus_import: 1
status: public
title: Probabilistic opacity for Markov decision processes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 115
year: '2015'
...
---
_id: '2085'
abstract:
- lang: eng
text: 'We study the spectrum of a large system of N identical bosons interacting
via a two-body potential with strength 1/N. In this mean-field regime, Bogoliubov''s
theory predicts that the spectrum of the N-particle Hamiltonian can be approximated
by that of an effective quadratic Hamiltonian acting on Fock space, which describes
the fluctuations around a condensed state. Recently, Bogoliubov''s theory has
been justified rigorously in the case that the low-energy eigenvectors of the
N-particle Hamiltonian display complete condensation in the unique minimizer of
the corresponding Hartree functional. In this paper, we shall justify Bogoliubov''s
theory for the high-energy part of the spectrum of the N-particle Hamiltonian
corresponding to (non-linear) excited states of the Hartree functional. Moreover,
we shall extend the existing results on the excitation spectrum to the case of
non-uniqueness and/or degeneracy of the Hartree minimizer. In particular, the
latter covers the case of rotating Bose gases, when the rotation speed is large
enough to break the symmetry and to produce multiple quantized vortices in the
Hartree minimizer. '
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Nam P, Seiringer R. Collective excitations of Bose gases in the mean-field
regime. Archive for Rational Mechanics and Analysis. 2015;215(2):381-417.
doi:10.1007/s00205-014-0781-6
apa: Nam, P., & Seiringer, R. (2015). Collective excitations of Bose gases in
the mean-field regime. Archive for Rational Mechanics and Analysis. Springer.
https://doi.org/10.1007/s00205-014-0781-6
chicago: Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases
in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis.
Springer, 2015. https://doi.org/10.1007/s00205-014-0781-6.
ieee: P. Nam and R. Seiringer, “Collective excitations of Bose gases in the mean-field
regime,” Archive for Rational Mechanics and Analysis, vol. 215, no. 2.
Springer, pp. 381–417, 2015.
ista: Nam P, Seiringer R. 2015. Collective excitations of Bose gases in the mean-field
regime. Archive for Rational Mechanics and Analysis. 215(2), 381–417.
mla: Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the
Mean-Field Regime.” Archive for Rational Mechanics and Analysis, vol. 215,
no. 2, Springer, 2015, pp. 381–417, doi:10.1007/s00205-014-0781-6.
short: P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015)
381–417.
date_created: 2018-12-11T11:55:37Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2021-01-12T06:55:13Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00205-014-0781-6
intvolume: ' 215'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1402.1153
month: '02'
oa: 1
oa_version: Preprint
page: 381 - 417
publication: Archive for Rational Mechanics and Analysis
publication_status: published
publisher: Springer
publist_id: '4951'
quality_controlled: '1'
scopus_import: 1
status: public
title: Collective excitations of Bose gases in the mean-field regime
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 215
year: '2015'
...
---
_id: '2166'
abstract:
- lang: eng
text: 'We consider the spectral statistics of large random band matrices on mesoscopic
energy scales. We show that the correlation function of the local eigenvalue density
exhibits a universal power law behaviour that differs from the Wigner-Dyson- Mehta
statistics. This law had been predicted in the physics literature by Altshuler
and Shklovskii in (Zh Eksp Teor Fiz (Sov Phys JETP) 91(64):220(127), 1986); it
describes the correlations of the eigenvalue density in general metallic sampleswith
weak disorder. Our result rigorously establishes the Altshuler-Shklovskii formulas
for band matrices. In two dimensions, where the leading term vanishes owing to
an algebraic cancellation, we identify the first non-vanishing term and show that
it differs substantially from the prediction of Kravtsov and Lerner in (Phys Rev
Lett 74:2563-2566, 1995). The proof is given in the current paper and its companion
(Ann. H. Poincaré. arXiv:1309.5107, 2014). '
author:
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Antti
full_name: Knowles, Antti
last_name: Knowles
citation:
ama: 'Erdös L, Knowles A. The Altshuler-Shklovskii formulas for random band matrices
I: the unimodular case. Communications in Mathematical Physics. 2015;333(3):1365-1416.
doi:10.1007/s00220-014-2119-5'
apa: 'Erdös, L., & Knowles, A. (2015). The Altshuler-Shklovskii formulas for
random band matrices I: the unimodular case. Communications in Mathematical
Physics. Springer. https://doi.org/10.1007/s00220-014-2119-5'
chicago: 'Erdös, László, and Antti Knowles. “The Altshuler-Shklovskii Formulas for
Random Band Matrices I: The Unimodular Case.” Communications in Mathematical
Physics. Springer, 2015. https://doi.org/10.1007/s00220-014-2119-5.'
ieee: 'L. Erdös and A. Knowles, “The Altshuler-Shklovskii formulas for random band
matrices I: the unimodular case,” Communications in Mathematical Physics,
vol. 333, no. 3. Springer, pp. 1365–1416, 2015.'
ista: 'Erdös L, Knowles A. 2015. The Altshuler-Shklovskii formulas for random band
matrices I: the unimodular case. Communications in Mathematical Physics. 333(3),
1365–1416.'
mla: 'Erdös, László, and Antti Knowles. “The Altshuler-Shklovskii Formulas for Random
Band Matrices I: The Unimodular Case.” Communications in Mathematical Physics,
vol. 333, no. 3, Springer, 2015, pp. 1365–416, doi:10.1007/s00220-014-2119-5.'
short: L. Erdös, A. Knowles, Communications in Mathematical Physics 333 (2015) 1365–1416.
date_created: 2018-12-11T11:56:05Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2021-01-12T06:55:43Z
day: '01'
department:
- _id: LaEr
doi: 10.1007/s00220-014-2119-5
intvolume: ' 333'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1309.5106
month: '02'
oa: 1
oa_version: Preprint
page: 1365 - 1416
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4818'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'The Altshuler-Shklovskii formulas for random band matrices I: the unimodular
case'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 333
year: '2015'
...