Random matrices beyond Wigner-Dyson-Mehta

Project Information

RMTBEYOND

Grant agreement ID: 101020331

DOI

10.3030/101020331

EC signature date 18 July 2021

Start date 1 October 2021

End date 30 September 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 912 439,00

EU contribution

€ 1 912 439,00

Coordinated by

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
Austria

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (32)

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

Author(s): Guillaume Dubach; Jana Reker
Published in: Random Matrices: Theory and Applications, Issue 5, 2024, ISSN 2010-3263
Publisher: World Scientific Publishing
DOI: 10.1142/s2010326324500072

Dynamics of a rank-one perturbation of a Hermitian matrix

Author(s): Dubach G, Erdös L
Published in: Electronic Communications in Probability, 2023, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/23-ecp516

Spiked multiplicative random matrices and principal components

Author(s): Ding, Xiucai; Ji, Hong Chang
Published in: Stochastic Processes and their Applications, 2023, ISSN 0304-4149
Publisher: Elsevier BV
DOI: 10.1016/j.spa.2023.05.009

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

Author(s): Giorgio Cipolloni; László Erdős; Joscha Henheik; Dominik Schröder
Published in: Journal of Functional Analysis, Issue 19, 2024, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2024.110495

Small deviation estimates for the largest eigenvalue of Wigner matrices

Author(s): Erdös L, Xu Y
Published in: Bernoulli, 2023, ISSN 1350-7265
Publisher: Chapman & Hall
DOI: 10.3150/22-bej1490

Gaussian fluctuations in the equipartition principle for Wigner matrices

Author(s): Giorgio Cipolloni; László Erdős; Joscha Henheik; Oleksii Kolupaiev
Published in: Forum of Mathematics, Sigma, Vol 11 (2023), 2023, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2023.70

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

Author(s): Erdős, László; Ji, Hong Chang
Published in: Communications on Pure and Applied Mathematics, Issue 3, 2024, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.22201

Fluctuation Moments for Regular Functions of Wigner Matrices

Author(s): Jana Reker
Published in: Mathematical Physics, Analysis and Geometry, Issue 12, 2024, ISSN 1385-0172
Publisher: 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

Author(s): Schnelli K, Xu Y.
Published in: The Annals of Applied Probability, 2023, ISSN 1050-5164
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/22-aap1826

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

Author(s): Reker, Jana
Published in: Random Matrices: Theory and Applications, 2022, ISSN 2010-3263
Publisher: Cornell University
DOI: 10.1142/s2010326322500368

Optimal multi-resolvent local laws for Wigner matrices

Author(s): Cipolloni G, Erdös L, Schröder DJ
Published in: Electronic Journal of Probability, 2022, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/22-ejp838

The BCS Energy Gap at High Density

Author(s): Joscha Henheik; Asbjørn Bækgaard Lauritsen
Published in: Journal of Statistical Physics, Issue 3, 2022, ISSN 0022-4715
Publisher: 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

Author(s): Tom Wessel; Stefan Teufel; Joscha Henheik
Published in: Letters in Mathematical Physics, Issue 3, 2022, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.48550/arxiv.2106.13780

Creation rate of Dirac particles at a point source

Author(s): Joscha Henheik; Roderich Tumulka
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 7, 2023, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/acfe62

Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems

Author(s): Shoki Sugimoto; Joscha Henheik; Volodymyr Riabov; László Erdős
Published in: Journal of Statistical Physics, Issue 9, 2023, ISSN 0022-4715
Publisher: 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

Author(s): Kevin Schnelli; Yuanyuan Xu
Published in: Communications in Mathematical Physics, Issue 4, 2022, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-022-04377-y

On the Spectral Form Factor for Random Matrices

Author(s): Giorgio Cipolloni; László Erdős; Dominik Schröder
Published in: Communications in Mathematical Physics, 401 (2), 2023, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-023-04692-y

Universality in low-dimensional BCS theory

Author(s): Joscha Henheik; Asbjørn Bækgaard Lauritsen; Barbara Roos
Published in: Reviews in Mathematical Physics, 2023, ISSN 0129-055X
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0129055x2360005x

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

Author(s): Henheik SJ, Tumulka R
Published in: Journal of Mathematical Physics, 2022, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0104675

Precise asymptotics for the spectral radius of a large random matrix

Author(s): Giorgio Cipolloni; László Erdős; Yuanyuan Xu
Published in: Journal of Mathematical Physics, Issue 5, 2024, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0209705

Extremal statistics of quadratic forms of GOE/GUE eigenvectors

Author(s): Erdos, Laszlo; McKenna, Benjamin
Published in: Annals of Applied Probability, Issue 3, 2024, ISSN 1050-5164
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/23-aap2000

On the rightmost eigenvalue of non-Hermitian random matrices

Author(s): Cipolloni, Giorgio; Erdős, László; Schröder, Dominik; Xu, Yuanyuan
Published in: The Annals of Probability, 2023, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/23-aop1643

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

Author(s): Henheik SJ, Teufel S.
Published in: Journal of Mathematical Physics, 2022, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0051632

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

Author(s): Henheik SJ, Teufel S.
Published in: Forum of Mathematics, Sigma, 2022, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2021.80

Rank-uniform local law for Wigner matrices

Author(s): Cipolloni G, Erdös L, Schröder DJ
Published in: Forum of Mathematics, Sigma, 2022, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2022.86

Directional extremal statistics for Ginibre eigenvalues

Author(s): Cipolloni G, Erdös L, Schröder DJ, Xu Y
Published in: Journal of Mathematical Physics, 2022, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0104290

The BCS Critical Temperature at High Density

Author(s): Henheik, Joscha
Published in: Mathematical Physics, Analysis, and Geometry, Issue 3, 2022, ISSN 1385-0172
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11040-021-09415-0

Functional CLT for non-Hermitian random matrices

Author(s): Erdős, László; Ji, Hong Chang
Published in: Annales de l'institut Henri Poincare (B) Probability and Statistics, Issue 7, 2023, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/22-aihp1304

Mesoscopic central limit theorem for non-Hermitian random matrices

Author(s): Cipolloni, Giorgio; Erdős, László; Schröder, Dominik; id_orcid0000-0002-2904-1856
Published in: Probability Theory and Related Fields, 188 (3), Issue 15, 2024, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-023-01229-1

Functional central limit theorems for Wigner matrices

Author(s): Cipolloni G, Erdös L, Schröder DJ
Published in: Annals of Applied Probability, 2023, ISSN 1050-5164
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/22-aap1820

On adiabatic theory for extended fermionic lattice systems

Author(s): Henheik SJ, Wessel T
Published in: Journal of Mathematical Physics, 2022, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0123441

Local laws for multiplication of random matrices

Author(s): Ding X, Ji HC.
Published in: The Annals of Applied Probability, 2023, ISSN 1050-5164
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/22-aap1882

Thesis and dissertations (1)

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

Author(s): Reker, Jana
Published in: Issue 11, 2024
Publisher: Institute of Science and Technology Austria
DOI: 10.15479/at:ista:17164