Random matrices beyond Wigner-Dyson-Mehta

Project Period: 2021-10-01 – 2026-09-30
Funder: European Research Council
Acronym
RMTBEYOND
Principal Investigator
Department(s)
Erdoes Group
Grant Number
101020331
Grant DOI
10.3030/101020331
Funder
European Research Council
Funder Schema
H2020-ERC-AdG
Funder Registry
10.13039/501100000781

47 Publications

2025 | Published | Journal Article | IST-REx-ID: 19039 | OA
Tracy-Widom limit for free sum of random matrices
H.C. Ji, J. Park, The Annals of Probability 53 (2025) 239–298.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Draft | Preprint | IST-REx-ID: 19552 | OA
How a space-time singularity helps remove the ultraviolet divergence problem
Henheik, Sven Joscha, How a space-time singularity helps remove the ultraviolet divergence problem. arXiv. 2025
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2025 | Draft | Preprint | IST-REx-ID: 19546 | OA
Eigenvector decorrelation for random matrices
Cipolloni, Giorgio, Eigenvector decorrelation for random matrices. arXiv. 2025
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 18112 | OA
Deformational rigidity of integrable metrics on the torus
S.J. Henheik, Ergodic Theory and Dynamical Systems 45 (2025) 467–503.
[Published Version] View | Files available | DOI | WoS
 
2025 | Published | Journal Article | IST-REx-ID: 19548 | OA
Universal behavior of the BCS energy gap
Henheik, Sven Joscha, Universal behavior of the BCS energy gap. Journal of Spectral Theory 15 (1). 2025
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19500 | OA
Density of Brown measure of free circular Brownian motion
L. Erdös, H.C. Ji, Documenta Mathematica 30 (2025) 417–453.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 15128 | OA
Mesoscopic eigenvalue statistics for Wigner-type matrices
V. Riabov, Annales de l’institut Henri Poincare (B) Probability and Statistics 61 (2025) 129–154.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19001 | OA
Loschmidt echo for deformed Wigner matrices
L. Erdös, S.J. Henheik, O. Kolupaiev, Letters in Mathematical Physics 115 (2025).
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19737 | OA
Non–Hermitian spectral universality at critical points
G. Cipolloni, L. Erdös, H.C. Ji, Probability Theory and Related Fields (2025).
[Published Version] View | DOI | Download Published Version (ext.)
 
2025 | Published | Thesis | IST-REx-ID: 19540 | OA
Modeling complex quantum systems : Random matrices, BCS theory, and quantum lattice systems
S.J. Henheik, Modeling Complex Quantum Systems : Random Matrices, BCS Theory, and Quantum Lattice Systems, Institute of Science and Technology Austria, 2025.
[Published Version] View | Files available | DOI
 
2024 | Published | 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 77 (2024) 3785–3840.
[Published Version] View | Files available | DOI | arXiv
 
2024 | Published | Journal Article | IST-REx-ID: 18762 | OA
Multi-point functional central limit theorem for Wigner matrices
J. Reker, Electronic Journal of Probability 29 (2024).
[Published Version] View | Files available | DOI | arXiv
 
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 | 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 | 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 | 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 13 (2024).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2024 | Published | Journal Article | IST-REx-ID: 17049
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 (2024).
[Published Version] View | Files available | DOI
 
2024 | Published | Journal Article | IST-REx-ID: 18656 | OA
Out-of-time-ordered correlators for Wigner matrices
G. Cipolloni, L. Erdös, S.J. Henheik, Advances in Theoretical and Mathematical Physics 28 (2024) 2025–2083.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2024 | Draft | Preprint | IST-REx-ID: 19545 | OA
Eigenstate thermalisation at the edge for Wigner matrices
Cipolloni, Giorgio, Eigenstate thermalisation at the edge for Wigner matrices. arXiv. 2024
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

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