105 citations · 119 across the 22 of their papers we have counts for
5 papers · 2 filters
Functional CLT for non-Hermitian random matrices
László Erdős, Hong Chang Ji
For large dimensional non-Hermitian random matrices with real or complex independent, identically distributed, centered entries, we consider the fluctuations of as a mat…
Optimal multi-resolvent local laws for Wigner matrices
Giorgio Cipolloni, László Erdős, Dominik Schröder
We prove local laws, i.e. optimal concentration estimates for arbitrary products of resolvents of a Wigner random matrix with deterministic matrices in between. We find that the si…
Small deviation estimates for the largest eigenvalue of Wigner matrices
László Erdős, Yuanyuan Xu
We establish precise right-tail small deviation estimates for the largest eigenvalue of real symmetric and complex Hermitian matrices whose entries are independent random variables…
Dynamics of a rank-one perturbation of a Hermitian matrix
Guillaume Dubach, László Erdős
We study the eigenvalue trajectories of a time dependent matrix for , where is an Hermitian random matrix and is a unit vector. I…
Normal fluctuation in quantum ergodicity for Wigner matrices
Giorgio Cipolloni, László Erdős, Dominik Schröder
We consider the quadratic form of a general deterministic matrix on the eigenvectors of an Wigner matrix and prove that it has Gaussian fluctuation for each bulk eigenv…