Tracy-Widom limit for free sum of random matrices
H.C. Ji, J. Park, The Annals of Probability 53 (2025) 239–298.

Density of Brown measure of free circular Brownian motion

Mesoscopic eigenvalue statistics for Wigner-type matrices
V. Riabov, Annales de l’institut Henri Poincare (B) Probability and Statistics 61 (2025) 129–154.

Eigenvector decorrelation for random matrices

Deformational rigidity of integrable metrics on the torus
S.J. Henheik, Ergodic Theory and Dynamical Systems 45 (2025) 467–503.

Universal behavior of the BCS energy gap

Loschmidt echo for deformed Wigner matrices
L. Erdös, S.J. Henheik, O. Kolupaiev, Letters in Mathematical Physics 115 (2025).

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

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.

Multi-point functional central limit theorem for Wigner matrices
J. Reker, Electronic Journal of Probability 29 (2024).

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.

Precise asymptotics for the spectral radius of a large random matrix
G. Cipolloni, L. Erdös, Y. Xu, Journal of Mathematical Physics 65 (2024).

Extremal statistics of quadratic forms of GOE/GUE eigenvectors
L. Erdös, B. McKenna, Annals of Applied Probability 34 (2024) 1623–1662.

Fluctuation moments for regular functions of Wigner Matrices
J. Reker, Mathematical Physics, Analysis and Geometry 27 (2024).

Dynamics of a rank-one multiplicative perturbation of a unitary matrix
G. Dubach, J. Reker, Random Matrices: Theory and Applications 13 (2024).

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.

Cusp universality for correlated random matrices

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).

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.

Eigenstate thermalisation at the edge for Wigner matrices