Random matrices beyond Wigner-Dyson-Mehta

Información del proyecto

RMTBEYOND

Identificador del acuerdo de subvención: 101020331

DOI

10.3030/101020331

Fecha de la firma de la CE 18 Julio 2021

Fecha de inicio 1 Octubre 2021

Fecha de finalización 30 Septiembre 2026

Financiado con arreglo a

• EXCELLENT SCIENCE - European Research Council (ERC)

Coste total

€ 1 912 439,00

Aportación de la UE

€ 1 912 439,00

Coordinado por

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
Austria

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Publicaciones

Peer reviewed articles (47)

Dynamics of a rank-one multiplicative perturbation of a unitary matrix

Autores: Guillaume Dubach; Jana Reker
Publicado en: Random Matrices: Theory and Applications, Edición 5, 2024, ISSN 2010-3263
Editor: World Scientific Publishing
DOI: 10.1142/s2010326324500072

Normal typicality and dynamical typicality for a random block-band matrix model

Autores: László Erdős, Joscha Henheik, Cornelia Vogel
Publicado en: Letters in Mathematical Physics, Edición 116, 2026, ISSN 1573-0530
Editor: Springer Science and Business Media LLC
DOI: 10.1007/s11005-025-02037-5

Dynamics of a rank-one perturbation of a Hermitian matrix

Autores: Dubach G, Erdös L
Publicado en: Electronic Communications in Probability, 2023, ISSN 1083-589X
Editor: Institute of Mathematical Statistics
DOI: 10.1214/23-ecp516

Spiked multiplicative random matrices and principal components

Autores: Ding, Xiucai; Ji, Hong Chang
Publicado en: Stochastic Processes and their Applications, 2023, ISSN 0304-4149
Editor: Elsevier BV
DOI: 10.1016/j.spa.2023.05.009

Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices

Autores: Giorgio Cipolloni; László Erdős; Joscha Henheik; Dominik Schröder
Publicado en: Journal of Functional Analysis, Edición 19, 2024, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2024.110495

Optimal decay of eigenvector overlap for non-Hermitian random matrices

Autores: Giorgio Cipolloni, László Erdős, Yuanyuan Xu
Publicado en: Journal of Functional Analysis, Edición 290, 2025, Página(s) 111180, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2025.111180

Small deviation estimates for the largest eigenvalue of Wigner matrices

Autores: Erdös L, Xu Y
Publicado en: Bernoulli, 2023, ISSN 1350-7265
Editor: Chapman & Hall
DOI: 10.3150/22-bej1490

Gaussian fluctuations in the equipartition principle for Wigner matrices

Autores: Giorgio Cipolloni; László Erdős; Joscha Henheik; Oleksii Kolupaiev
Publicado en: Forum of Mathematics, Sigma, Vol 11 (2023), 2023, ISSN 2050-5094
Editor: Cambridge University Press
DOI: 10.1017/fms.2023.70

Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices

Autores: Erdős, László; Ji, Hong Chang
Publicado en: Communications on Pure and Applied Mathematics, Edición 3, 2024, ISSN 0010-3640
Editor: John Wiley & Sons Inc.
DOI: 10.1002/cpa.22201

Fluctuation Moments for Regular Functions of Wigner Matrices

Autores: Jana Reker
Publicado en: Mathematical Physics, Analysis and Geometry, Edición 12, 2024, ISSN 1385-0172
Editor: Kluwer Academic Publishers
DOI: 10.1007/s11040-024-09483-y

Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices

Autores: Schnelli K, Xu Y.
Publicado en: The Annals of Applied Probability, 2023, ISSN 1050-5164
Editor: Institute of Mathematical Statistics
DOI: 10.1214/22-aap1826

On the operator norm of a Hermitian random matrix with correlated entries

Autores: Reker, Jana
Publicado en: Random Matrices: Theory and Applications, 2022, ISSN 2010-3263
Editor: Cornell University
DOI: 10.1142/s2010326322500368

Non–Hermitian spectral universality at critical points

Autores: Giorgio Cipolloni, László Erdős, Hong Chang Ji
Publicado en: Probability Theory and Related Fields, 2025, ISSN 0178-8051
Editor: Springer Verlag
DOI: 10.1007/s00440-025-01384-7

Optimal multi-resolvent local laws for Wigner matrices

Autores: Cipolloni G, Erdös L, Schröder DJ
Publicado en: Electronic Journal of Probability, 2022, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/22-ejp838

The BCS Energy Gap at High Density

Autores: Joscha Henheik; Asbjørn Bækgaard Lauritsen
Publicado en: Journal of Statistical Physics, Edición 3, 2022, ISSN 0022-4715
Editor: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-022-02965-9

Local stability of ground states in locally gapped and weakly interacting quantum spin systems

Autores: Tom Wessel; Stefan Teufel; Joscha Henheik
Publicado en: Letters in Mathematical Physics, Edición 3, 2022, ISSN 0377-9017
Editor: Kluwer Academic Publishers
DOI: 10.48550/arxiv.2106.13780

Density of Brown measure of free circular Brownian motion

Autores: László Erdős, Hong Chang Ji
Publicado en: Documenta Mathematica, Edición 30, 2025, Página(s) 417-453, ISSN 1431-0635
Editor: Deutsche Mathematiker-Vereinigung
DOI: 10.4171/dm/999

Creation rate of Dirac particles at a point source

Autores: Joscha Henheik; Roderich Tumulka
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 7, 2023, ISSN 1751-8113
Editor: Institute of Physics Publishing
DOI: 10.1088/1751-8121/acfe62

Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems

Autores: Shoki Sugimoto; Joscha Henheik; Volodymyr Riabov; László Erdős
Publicado en: Journal of Statistical Physics, Edición 9, 2023, ISSN 0022-4715
Editor: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-023-03132-4

Convergence Rate to the Tracy–Widom Laws for the Largest Eigenvalue of Wigner Matrices

Autores: Kevin Schnelli; Yuanyuan Xu
Publicado en: Communications in Mathematical Physics, Edición 4, 2022, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-022-04377-y

On the Spectral Form Factor for Random Matrices

Autores: Giorgio Cipolloni; László Erdős; Dominik Schröder
Publicado en: Communications in Mathematical Physics, 401 (2), 2023, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-023-04692-y

Universality in low-dimensional BCS theory

Autores: Joscha Henheik; Asbjørn Bækgaard Lauritsen; Barbara Roos
Publicado en: Reviews in Mathematical Physics, 2023, ISSN 0129-055X
Editor: World Scientific Publishing Co
DOI: 10.1142/s0129055x2360005x

Interior-boundary conditions for the Dirac equation at point sources in three dimensions

Autores: Henheik SJ, Tumulka R
Publicado en: Journal of Mathematical Physics, 2022, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/5.0104675

Precise asymptotics for the spectral radius of a large random matrix

Autores: Giorgio Cipolloni; László Erdős; Yuanyuan Xu
Publicado en: Journal of Mathematical Physics, Edición 5, 2024, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/5.0209705

Prethermalization for Deformed Wigner Matrices

Autores: László Erdős, Joscha Henheik, Jana Reker, Volodymyr Riabov
Publicado en: Annales Henri Poincaré, Edición 26, 2025, Página(s) 1991-2033, ISSN 1424-0637
Editor: Birkhauser Verlag
DOI: 10.1007/s00023-024-01518-y

Deformational rigidity of integrable metrics on the torus

Autores: JOSCHA HENHEIK
Publicado en: Ergodic Theory and Dynamical Systems, Edición 45, 2025, Página(s) 467-503, ISSN 0143-3857
Editor: Cambridge University Press
DOI: 10.1017/etds.2024.48

Extremal statistics of quadratic forms of GOE/GUE eigenvectors

Autores: Erdos, Laszlo; McKenna, Benjamin
Publicado en: Annals of Applied Probability, Edición 3, 2024, ISSN 1050-5164
Editor: Institute of Mathematical Statistics
DOI: 10.1214/23-aap2000

On the rightmost eigenvalue of non-Hermitian random matrices

Autores: Cipolloni, Giorgio; Erdős, László; Schröder, Dominik; Xu, Yuanyuan
Publicado en: The Annals of Probability, 2023, ISSN 0091-1798
Editor: Institute of Mathematical Statistics
DOI: 10.1214/23-aop1643

Mesoscopic eigenvalue statistics for Wigner-type matrices

Autores: Volodymyr Riabov
Publicado en: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Edición 61, 2025, ISSN 0246-0203
Editor: Elsevier BV
DOI: 10.1214/23-aihp1438

Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap

Autores: Henheik SJ, Teufel S.
Publicado en: Journal of Mathematical Physics, 2022, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/5.0051632

Universal behavior of the BCS energy gap

Autores: Joscha Henheik, Asbjørn Bækgaard Lauritsen
Publicado en: Journal of Spectral Theory, Edición 15, 2025, Página(s) 305-352, ISSN 1664-039X
Editor: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/jst/540

How a space-time singularity helps remove the ultraviolet divergence problem

Autores: Joscha Henheik, Bipul Poudyal, Roderich Tumulka
Publicado en: Advances in Theoretical and Mathematical Physics, Edición 29, 2025, Página(s) 2153-2197, ISSN 1095-0761
Editor: International Press
DOI: 10.4310/atmp.251120045919

Decorrelation transition in the Wigner minor process

Autores: Zhigang Bao, Giorgio Cipolloni, László Erdős, Joscha Henheik, Oleksii Kolupaiev
Publicado en: Probability Theory and Related Fields, 2025, ISSN 0178-8051
Editor: Springer Verlag
DOI: 10.1007/s00440-025-01422-4

Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk

Autores: Henheik SJ, Teufel S.
Publicado en: Forum of Mathematics, Sigma, 2022, ISSN 2050-5094
Editor: Cambridge University Press
DOI: 10.1017/fms.2021.80

Eigenstate Thermalization Hypothesis for Wigner-Type Matrices

Autores: László Erdős, Volodymyr Riabov
Publicado en: Communications in Mathematical Physics, Edición 405, 2024, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-024-05143-y

Rank-uniform local law for Wigner matrices

Autores: Cipolloni G, Erdös L, Schröder DJ
Publicado en: Forum of Mathematics, Sigma, 2022, ISSN 2050-5094
Editor: Cambridge University Press
DOI: 10.1017/fms.2022.86

Cusp Universality for Correlated Random Matrices

Autores: László Erdős, Joscha Henheik, Volodymyr Riabov
Publicado en: Communications in Mathematical Physics, Edición 406, 2025, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-025-05417-z

Directional extremal statistics for Ginibre eigenvalues

Autores: Cipolloni G, Erdös L, Schröder DJ, Xu Y
Publicado en: Journal of Mathematical Physics, 2022, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/5.0104290

The BCS Critical Temperature at High Density

Autores: Henheik, Joscha
Publicado en: Mathematical Physics, Analysis, and Geometry, Edición 3, 2022, ISSN 1385-0172
Editor: Kluwer Academic Publishers
DOI: 10.1007/s11040-021-09415-0

Functional CLT for non-Hermitian random matrices

Autores: Erdős, László; Ji, Hong Chang
Publicado en: Annales de l'institut Henri Poincare (B) Probability and Statistics, Edición 7, 2023, ISSN 0246-0203
Editor: Elsevier BV
DOI: 10.1214/22-aihp1304

Multi-point functional central limit theorem for Wigner matrices

Autores: Jana Reker
Publicado en: Electronic Journal of Probability, Edición 29, 2024, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/24-ejp1247

Extreme eigenvalues of Laplacian random matrices with Gaussian entries

Autores: Andrew Campbell, Kyle Luh, Sean O’Rourke, Santiago Arenas-Velilla, Victor Perez-Abreu
Publicado en: Electronic Journal of Probability, Edición 30, 2025, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/25-ejp1366

Mesoscopic central limit theorem for non-Hermitian random matrices

Autores: Cipolloni, Giorgio; Erdős, László; Schröder, Dominik; id_orcid0000-0002-2904-1856
Publicado en: Probability Theory and Related Fields, 188 (3), Edición 15, 2024, ISSN 0178-8051
Editor: Springer Verlag
DOI: 10.1007/s00440-023-01229-1

Functional central limit theorems for Wigner matrices

Autores: Cipolloni G, Erdös L, Schröder DJ
Publicado en: Annals of Applied Probability, 2023, ISSN 1050-5164
Editor: Institute of Mathematical Statistics
DOI: 10.1214/22-aap1820

On adiabatic theory for extended fermionic lattice systems

Autores: Henheik SJ, Wessel T
Publicado en: Journal of Mathematical Physics, 2022, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/5.0123441

Out-of-time-ordered correlators for Wigner matrices

Autores: Giorgio Cipolloni, László Erdős, Joscha Henheik
Publicado en: Advances in Theoretical and Mathematical Physics, Edición 28, 2025, Página(s) 2025-2083, ISSN 1095-0761
Editor: International Press
DOI: 10.4310/atmp.241031013250

Local laws for multiplication of random matrices

Autores: Ding X, Ji HC.
Publicado en: The Annals of Applied Probability, 2023, ISSN 1050-5164
Editor: Institute of Mathematical Statistics
DOI: 10.1214/22-aap1882

Thesis and dissertations (1)

Central limit theorems for random matrices: From resolvents to free probability

Autores: Reker, Jana
Publicado en: Edición 11, 2024
Editor: Institute of Science and Technology Austria
DOI: 10.15479/at:ista:17164