142 citations · 266 across the 20 of their papers we have counts for
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Mesoscopic eigenvalue statistics for correlated random matrices
László Erdős, Jaehun Lee
We prove a mesoscopic central limit theorem for linear eigenvalue statistics of correlated Hermitian random matrices. The class considered here includes Wigner and Wigner-type matr…
The non-Hermitian minor process
Giorgio Cipolloni, László Erdős, Oleksii Kolupaiev
We show that the log-determinant of leading principal minors of large non-Hermitian random matrices converges in distribution to a 2+1 dimensional Gaussian field, which is logarith…
The eigenvalues of i.i.d. matrices are hyperuniform
Giorgio Cipolloni, László Erdős, Oleksii Kolupaiev
We prove that the point process of the eigenvalues of real or complex non-Hermitian matrices with independent, identically distributed entries is hyperuniform: the variance of…
The Zigzag Strategy for Random Band Matrices
László Erdős, Volodymyr Riabov
We prove that a very general class of Hermitian random band matrices is in the delocalized phase when the band width exceeds the critical threshold, …
Law of fractional logarithm for random matrices
Zhigang Bao, Giorgio Cipolloni, László Erdős +2
We prove the Paquette-Zeitouni law of fractional logarithm (LFL) for the extreme eigenvalues [arXiv:1505.05627] in full generality, and thereby verify a conjecture from [arXiv:1505…
Eigenvector decorrelation for random matrices
Giorgio Cipolloni, László Erdős, Joscha Henheik +1
We study the sensitivity of the eigenvectors of random matrices, showing that even small perturbations make the eigenvectors almost orthogonal. More precisely, we consider two defo…