From the 1 of 12 linked papers with an AI index.
12 papers
On a Rosenzweig-Porter-type model
Giorgio Cipolloni, László ErdÅs, Joscha Henheik
The paper analyzes a general Rosenzweig‑Porter random matrix model, studying how eigenvector localization and the eigenstate thermalisation hypothesis evolve as the coupling streng…
Mesoscopic eigenvalue statistics for correlated random matrices
László ErdÅs, 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 ErdÅs, 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…
Eigenvector decorrelation for random matrices
Giorgio Cipolloni, László ErdÅs, 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…
The eigenvalues of i.i.d. matrices are hyperuniform
Giorgio Cipolloni, László ErdÅs, 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…
Universality of extremal eigenvalues of large random matrices
Giorgio Cipolloni, László ErdÅs, Yuanyuan Xu
We prove that the spectral radius of a large random matrix with independent, identically distributed complex entries follows the Gumbel law irrespective of the distribution of…