Random matrices beyond Wigner-Dyson-Mehta

Project Period: 2021-10-01 – 2026-09-30
Funder: EC/H2020
Acronym
RMTBEYOND
Principal Investigator
Grant Number
101020331
Funder
EC/H2020

35 Publications

2024 | Published | Journal Article | IST-REx-ID: 14408 | OA
Mesoscopic central limit theorem for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 188 (2024) 1131–1182.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 17047 | OA
Dynamics of a rank-one multiplicative perturbation of a unitary matrix
G. Dubach, J. Reker, Random Matrices: Theory and Applications (2024).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2024 | In Press | Journal Article | IST-REx-ID: 17049 | OA
Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices
G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional Analysis 287 (n.d.).
[Published Version] View | DOI | Download Published Version (ext.)
 
2024 | Published | Journal Article | IST-REx-ID: 17154 | OA
Fluctuation moments for regular functions of Wigner Matrices
J. Reker, Mathematical Physics, Analysis and Geometry 27 (2024).
[Published Version] View | Files available | DOI | arXiv
 
2024 | Published | Thesis | IST-REx-ID: 17164 | OA
Central limit theorems for random matrices: From resolvents to free probability
J. Reker, Central Limit Theorems for Random Matrices: From Resolvents to Free Probability, Institute of Science and Technology Austria, 2024.
[Published Version] View | Files available | DOI
 
2024 | Published | Journal Article | IST-REx-ID: 17375 | OA
Precise asymptotics for the spectral radius of a large random matrix
G. Cipolloni, L. Erdös, Y. Xu, Journal of Mathematical Physics 65 (2024).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2024 | Published | Journal Article | IST-REx-ID: 15025 | OA
Extremal statistics of quadratic forms of GOE/GUE eigenvectors
L. Erdös, B. McKenna, Annals of Applied Probability 34 (2024) 1623–1662.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 15378 | OA
Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices
L. Erdös, H.C. Ji, Communications on Pure and Applied Mathematics (2024).
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 18112 | OA
Deformational rigidity of integrable metrics on the torus
S.J. Henheik, Ergodic Theory and Dynamical Systems (2024).
[Published Version] View | DOI | Download Published Version (ext.)
 
2023 | Published | Journal Article | IST-REx-ID: 13317 | OA
Eigenstate thermalisation hypothesis for translation invariant spin systems
S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 | Published | Journal Article | IST-REx-ID: 14343 | OA
Gaussian fluctuations in the equipartition principle for Wigner matrices
G. Cipolloni, L. Erdös, S.J. Henheik, O. Kolupaiev, Forum of Mathematics, Sigma 11 (2023).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 | Published | Journal Article | IST-REx-ID: 14421 | OA
Creation rate of Dirac particles at a point source
S.J. Henheik, R. Tumulka, Journal of Physics A: Mathematical and Theoretical 56 (2023).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 | Epub ahead of print | Journal Article | IST-REx-ID: 14542 | OA
Universality in low-dimensional BCS theory
S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics (2023).
[Published Version] View | Files available | DOI | Download Published Version (ext.) | arXiv
 
2023 | Submitted | Preprint | IST-REx-ID: 17174 | OA
Prethermalization for deformed Wigner Matrices
L. Erdös, S.J. Henheik, J. Reker, V. Riabov, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2023 | Published | Journal Article | IST-REx-ID: 12683 | OA
Dynamics of a rank-one perturbation of a Hermitian matrix
G. Dubach, L. Erdös, Electronic Communications in Probability 28 (2023) 1–13.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 | Published | Journal Article | IST-REx-ID: 12707 | OA
Small deviation estimates for the largest eigenvalue of Wigner matrices
L. Erdös, Y. Xu, Bernoulli 29 (2023) 1063–1079.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2023 | Published | Journal Article | IST-REx-ID: 12761 | OA
Functional central limit theorems for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Applied Probability 33 (2023) 447–489.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2023 | Published | Journal Article | IST-REx-ID: 12792 | OA
On the spectral form factor for random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 401 (2023) 1665–1700.
[Published Version] View | Files available | DOI | WoS
 
2023 | Published | Journal Article | IST-REx-ID: 14667 | OA
Functional CLT for non-Hermitian random matrices
L. Erdös, H.C. Ji, Annales de l’institut Henri Poincare (B) Probability and Statistics 59 (2023) 2083–2105.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2023 | Published | Journal Article | IST-REx-ID: 14750 | OA
Local laws for multiplication of random matrices
X. Ding, H.C. Ji, The Annals of Applied Probability 33 (2023) 2981–3009.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

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