---
_id: '8175'
abstract:
- lang: eng
text: We study edge asymptotics of poissonized Plancherel-type measures on skew
Young diagrams (integer partitions). These measures can be seen as generalizations
of those studied by Baik--Deift--Johansson and Baik--Rains in resolving Ulam's
problem on longest increasing subsequences of random permutations and the last
passage percolation (corner growth) discrete versions thereof. Moreover they interpolate
between said measures and the uniform measure on partitions. In the new KPZ-like
1/3 exponent edge scaling limit with logarithmic corrections, we find new probability
distributions generalizing the classical Tracy--Widom GUE, GOE and GSE distributions
from the theory of random matrices.
acknowledgement: "D.B. is especially grateful to Patrik Ferrari for suggesting simplifications
in Section 3 and\r\nto Alessandra Occelli for suggesting the name for the models
of Section 2.\r\n"
article_number: '34'
article_processing_charge: No
author:
- first_name: Dan
full_name: Betea, Dan
last_name: Betea
- first_name: Jérémie
full_name: Bouttier, Jérémie
last_name: Bouttier
- first_name: Peter
full_name: Nejjar, Peter
id: 4BF426E2-F248-11E8-B48F-1D18A9856A87
last_name: Nejjar
- first_name: Mirjana
full_name: Vuletíc, Mirjana
last_name: Vuletíc
citation:
ama: 'Betea D, Bouttier J, Nejjar P, Vuletíc M. New edge asymptotics of skew Young
diagrams via free boundaries. In: Proceedings on the 31st International Conference
on Formal Power Series and Algebraic Combinatorics. Formal Power Series and
Algebraic Combinatorics; 2019.'
apa: 'Betea, D., Bouttier, J., Nejjar, P., & Vuletíc, M. (2019). New edge asymptotics
of skew Young diagrams via free boundaries. In Proceedings on the 31st International
Conference on Formal Power Series and Algebraic Combinatorics. Ljubljana,
Slovenia: Formal Power Series and Algebraic Combinatorics.'
chicago: Betea, Dan, Jérémie Bouttier, Peter Nejjar, and Mirjana Vuletíc. “New Edge
Asymptotics of Skew Young Diagrams via Free Boundaries.” In Proceedings on
the 31st International Conference on Formal Power Series and Algebraic Combinatorics.
Formal Power Series and Algebraic Combinatorics, 2019.
ieee: D. Betea, J. Bouttier, P. Nejjar, and M. Vuletíc, “New edge asymptotics of
skew Young diagrams via free boundaries,” in Proceedings on the 31st International
Conference on Formal Power Series and Algebraic Combinatorics, Ljubljana,
Slovenia, 2019.
ista: 'Betea D, Bouttier J, Nejjar P, Vuletíc M. 2019. New edge asymptotics of skew
Young diagrams via free boundaries. Proceedings on the 31st International Conference
on Formal Power Series and Algebraic Combinatorics. FPSAC: International Conference
on Formal Power Series and Algebraic Combinatorics, 34.'
mla: Betea, Dan, et al. “New Edge Asymptotics of Skew Young Diagrams via Free Boundaries.”
Proceedings on the 31st International Conference on Formal Power Series and
Algebraic Combinatorics, 34, Formal Power Series and Algebraic Combinatorics,
2019.
short: D. Betea, J. Bouttier, P. Nejjar, M. Vuletíc, in:, Proceedings on the 31st
International Conference on Formal Power Series and Algebraic Combinatorics, Formal
Power Series and Algebraic Combinatorics, 2019.
conference:
end_date: 2019-07-05
location: Ljubljana, Slovenia
name: 'FPSAC: International Conference on Formal Power Series and Algebraic Combinatorics'
start_date: 2019-07-01
date_created: 2020-07-26T22:01:04Z
date_published: 2019-07-01T00:00:00Z
date_updated: 2021-01-12T08:17:18Z
day: '01'
department:
- _id: LaEr
ec_funded: 1
external_id:
arxiv:
- '1902.08750'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1902.08750
month: '07'
oa: 1
oa_version: Preprint
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '338804'
name: Random matrices, universality and disordered quantum systems
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '716117'
name: Optimal Transport and Stochastic Dynamics
publication: Proceedings on the 31st International Conference on Formal Power Series
and Algebraic Combinatorics
publication_status: published
publisher: Formal Power Series and Algebraic Combinatorics
quality_controlled: '1'
scopus_import: '1'
status: public
title: New edge asymptotics of skew Young diagrams via free boundaries
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2019'
...
---
_id: '405'
abstract:
- lang: eng
text: We investigate the quantum Jensen divergences from the viewpoint of joint
convexity. It turns out that the set of the functions which generate jointly convex
quantum Jensen divergences on positive matrices coincides with the Matrix Entropy
Class which has been introduced by Chen and Tropp quite recently.
acknowledgement: The author was supported by the ISTFELLOW program of the Institute
of Science and Technology Austria (project code IC1027FELL01) and partially supported
by the Hungarian National Research, Development and Innovation Office – NKFIH (grant
no. K124152)
article_processing_charge: No
article_type: original
author:
- first_name: Daniel
full_name: Virosztek, Daniel
id: 48DB45DA-F248-11E8-B48F-1D18A9856A87
last_name: Virosztek
orcid: 0000-0003-1109-5511
citation:
ama: Virosztek D. Jointly convex quantum Jensen divergences. Linear Algebra and
Its Applications. 2019;576:67-78. doi:10.1016/j.laa.2018.03.002
apa: Virosztek, D. (2019). Jointly convex quantum Jensen divergences. Linear
Algebra and Its Applications. Elsevier. https://doi.org/10.1016/j.laa.2018.03.002
chicago: Virosztek, Daniel. “Jointly Convex Quantum Jensen Divergences.” Linear
Algebra and Its Applications. Elsevier, 2019. https://doi.org/10.1016/j.laa.2018.03.002.
ieee: D. Virosztek, “Jointly convex quantum Jensen divergences,” Linear Algebra
and Its Applications, vol. 576. Elsevier, pp. 67–78, 2019.
ista: Virosztek D. 2019. Jointly convex quantum Jensen divergences. Linear Algebra
and Its Applications. 576, 67–78.
mla: Virosztek, Daniel. “Jointly Convex Quantum Jensen Divergences.” Linear Algebra
and Its Applications, vol. 576, Elsevier, 2019, pp. 67–78, doi:10.1016/j.laa.2018.03.002.
short: D. Virosztek, Linear Algebra and Its Applications 576 (2019) 67–78.
date_created: 2018-12-11T11:46:17Z
date_published: 2019-09-01T00:00:00Z
date_updated: 2023-08-24T14:31:47Z
day: '01'
department:
- _id: LaEr
doi: 10.1016/j.laa.2018.03.002
ec_funded: 1
external_id:
arxiv:
- '1712.05324'
isi:
- '000470955300005'
intvolume: ' 576'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1712.05324
month: '09'
oa: 1
oa_version: Preprint
page: 67-78
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Linear Algebra and Its Applications
publication_status: published
publisher: Elsevier
publist_id: '7424'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Jointly convex quantum Jensen divergences
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 576
year: '2019'
...
---
_id: '429'
abstract:
- lang: eng
text: We consider real symmetric or complex hermitian random matrices with correlated
entries. We prove local laws for the resolvent and universality of the local eigenvalue
statistics in the bulk of the spectrum. The correlations have fast decay but are
otherwise of general form. The key novelty is the detailed stability analysis
of the corresponding matrix valued Dyson equation whose solution is the deterministic
limit of the resolvent.
acknowledgement: "Open access funding provided by Institute of Science and Technology
(IST Austria).\r\n"
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Oskari H
full_name: Ajanki, Oskari H
id: 36F2FB7E-F248-11E8-B48F-1D18A9856A87
last_name: Ajanki
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Torben H
full_name: Krüger, Torben H
id: 3020C786-F248-11E8-B48F-1D18A9856A87
last_name: Krüger
orcid: 0000-0002-4821-3297
citation:
ama: Ajanki OH, Erdös L, Krüger TH. Stability of the matrix Dyson equation and random
matrices with correlations. Probability Theory and Related Fields. 2019;173(1-2):293–373.
doi:10.1007/s00440-018-0835-z
apa: Ajanki, O. H., Erdös, L., & Krüger, T. H. (2019). Stability of the matrix
Dyson equation and random matrices with correlations. Probability Theory and
Related Fields. Springer. https://doi.org/10.1007/s00440-018-0835-z
chicago: Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Stability of the
Matrix Dyson Equation and Random Matrices with Correlations.” Probability Theory
and Related Fields. Springer, 2019. https://doi.org/10.1007/s00440-018-0835-z.
ieee: O. H. Ajanki, L. Erdös, and T. H. Krüger, “Stability of the matrix Dyson equation
and random matrices with correlations,” Probability Theory and Related Fields,
vol. 173, no. 1–2. Springer, pp. 293–373, 2019.
ista: Ajanki OH, Erdös L, Krüger TH. 2019. Stability of the matrix Dyson equation
and random matrices with correlations. Probability Theory and Related Fields.
173(1–2), 293–373.
mla: Ajanki, Oskari H., et al. “Stability of the Matrix Dyson Equation and Random
Matrices with Correlations.” Probability Theory and Related Fields, vol.
173, no. 1–2, Springer, 2019, pp. 293–373, doi:10.1007/s00440-018-0835-z.
short: O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields
173 (2019) 293–373.
date_created: 2018-12-11T11:46:25Z
date_published: 2019-02-01T00:00:00Z
date_updated: 2023-08-24T14:39:00Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1007/s00440-018-0835-z
ec_funded: 1
external_id:
isi:
- '000459396500007'
file:
- access_level: open_access
checksum: f9354fa5c71f9edd17132588f0dc7d01
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T16:12:08Z
date_updated: 2020-07-14T12:46:26Z
file_id: '5720'
file_name: 2018_ProbTheory_Ajanki.pdf
file_size: 1201840
relation: main_file
file_date_updated: 2020-07-14T12:46:26Z
has_accepted_license: '1'
intvolume: ' 173'
isi: 1
issue: 1-2
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 293–373
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '338804'
name: Random matrices, universality and disordered quantum systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Probability Theory and Related Fields
publication_identifier:
eissn:
- '14322064'
issn:
- '01788051'
publication_status: published
publisher: Springer
publist_id: '7394'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Stability of the matrix Dyson equation and random matrices with correlations
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 173
year: '2019'
...
---
_id: '6086'
abstract:
- lang: eng
text: We show that linear analytic cocycles where all Lyapunov exponents are negative
infinite are nilpotent. For such one-frequency cocycles we show that they can
be analytically conjugated to an upper triangular cocycle or a Jordan normal form.
As a consequence, an arbitrarily small analytic perturbation leads to distinct
Lyapunov exponents. Moreover, in the one-frequency case where the th Lyapunov
exponent is finite and the st negative infinite, we obtain a simple criterion
for domination in which case there is a splitting into a nilpotent part and an
invertible part.
article_processing_charge: No
author:
- first_name: Christian
full_name: Sadel, Christian
id: 4760E9F8-F248-11E8-B48F-1D18A9856A87
last_name: Sadel
orcid: 0000-0001-8255-3968
- first_name: Disheng
full_name: Xu, Disheng
last_name: Xu
citation:
ama: Sadel C, Xu D. Singular analytic linear cocycles with negative infinite Lyapunov
exponents. Ergodic Theory and Dynamical Systems. 2019;39(4):1082-1098.
doi:10.1017/etds.2017.52
apa: Sadel, C., & Xu, D. (2019). Singular analytic linear cocycles with negative
infinite Lyapunov exponents. Ergodic Theory and Dynamical Systems. Cambridge
University Press. https://doi.org/10.1017/etds.2017.52
chicago: Sadel, Christian, and Disheng Xu. “Singular Analytic Linear Cocycles with
Negative Infinite Lyapunov Exponents.” Ergodic Theory and Dynamical Systems.
Cambridge University Press, 2019. https://doi.org/10.1017/etds.2017.52.
ieee: C. Sadel and D. Xu, “Singular analytic linear cocycles with negative infinite
Lyapunov exponents,” Ergodic Theory and Dynamical Systems, vol. 39, no.
4. Cambridge University Press, pp. 1082–1098, 2019.
ista: Sadel C, Xu D. 2019. Singular analytic linear cocycles with negative infinite
Lyapunov exponents. Ergodic Theory and Dynamical Systems. 39(4), 1082–1098.
mla: Sadel, Christian, and Disheng Xu. “Singular Analytic Linear Cocycles with Negative
Infinite Lyapunov Exponents.” Ergodic Theory and Dynamical Systems, vol.
39, no. 4, Cambridge University Press, 2019, pp. 1082–98, doi:10.1017/etds.2017.52.
short: C. Sadel, D. Xu, Ergodic Theory and Dynamical Systems 39 (2019) 1082–1098.
date_created: 2019-03-10T22:59:18Z
date_published: 2019-04-01T00:00:00Z
date_updated: 2023-08-25T08:03:30Z
day: '01'
department:
- _id: LaEr
doi: 10.1017/etds.2017.52
ec_funded: 1
external_id:
arxiv:
- '1601.06118'
isi:
- '000459725600012'
intvolume: ' 39'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1601.06118
month: '04'
oa: 1
oa_version: Preprint
page: 1082-1098
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Ergodic Theory and Dynamical Systems
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Singular analytic linear cocycles with negative infinite Lyapunov exponents
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 39
year: '2019'
...
---
_id: '6511'
abstract:
- lang: eng
text: Let U and V be two independent N by N random matrices that are distributed
according to Haar measure on U(N). Let Σ be a nonnegative deterministic N by N
matrix. The single ring theorem [Ann. of Math. (2) 174 (2011) 1189–1217] asserts
that the empirical eigenvalue distribution of the matrix X:=UΣV∗ converges weakly,
in the limit of large N, to a deterministic measure which is supported on a single
ring centered at the origin in ℂ. Within the bulk regime, that is, in the interior
of the single ring, we establish the convergence of the empirical eigenvalue distribution
on the optimal local scale of order N−1/2+ε and establish the optimal convergence
rate. The same results hold true when U and V are Haar distributed on O(N).
article_processing_charge: No
author:
- first_name: Zhigang
full_name: Bao, Zhigang
id: 442E6A6C-F248-11E8-B48F-1D18A9856A87
last_name: Bao
orcid: 0000-0003-3036-1475
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Kevin
full_name: Schnelli, Kevin
id: 434AD0AE-F248-11E8-B48F-1D18A9856A87
last_name: Schnelli
orcid: 0000-0003-0954-3231
citation:
ama: Bao Z, Erdös L, Schnelli K. Local single ring theorem on optimal scale. Annals
of Probability. 2019;47(3):1270-1334. doi:10.1214/18-AOP1284
apa: Bao, Z., Erdös, L., & Schnelli, K. (2019). Local single ring theorem on
optimal scale. Annals of Probability. Institute of Mathematical Statistics.
https://doi.org/10.1214/18-AOP1284
chicago: Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Single Ring Theorem
on Optimal Scale.” Annals of Probability. Institute of Mathematical Statistics,
2019. https://doi.org/10.1214/18-AOP1284.
ieee: Z. Bao, L. Erdös, and K. Schnelli, “Local single ring theorem on optimal scale,”
Annals of Probability, vol. 47, no. 3. Institute of Mathematical Statistics,
pp. 1270–1334, 2019.
ista: Bao Z, Erdös L, Schnelli K. 2019. Local single ring theorem on optimal scale.
Annals of Probability. 47(3), 1270–1334.
mla: Bao, Zhigang, et al. “Local Single Ring Theorem on Optimal Scale.” Annals
of Probability, vol. 47, no. 3, Institute of Mathematical Statistics, 2019,
pp. 1270–334, doi:10.1214/18-AOP1284.
short: Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
date_created: 2019-06-02T21:59:13Z
date_published: 2019-05-01T00:00:00Z
date_updated: 2023-08-28T09:32:29Z
day: '01'
department:
- _id: LaEr
doi: 10.1214/18-AOP1284
ec_funded: 1
external_id:
arxiv:
- '1612.05920'
isi:
- '000466616100003'
intvolume: ' 47'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1612.05920
month: '05'
oa: 1
oa_version: Preprint
page: 1270-1334
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '338804'
name: Random matrices, universality and disordered quantum systems
publication: Annals of Probability
publication_identifier:
issn:
- '00911798'
publication_status: published
publisher: Institute of Mathematical Statistics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Local single ring theorem on optimal scale
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 47
year: '2019'
...