Universality laws for random matrices via exchangeable counterparts
Probability
2026-03-10 v2
Abstract
Recently, Brailovskaya & van Handel (GAFA, 2024) established a suite of nonasymptotic universality laws which demonstrate that the spectral statistics of an independent sum of random matrices mirror the spectral statistics of a Gaussian random matrix with the same first- and second-order moments. This paper develops a more elementary proof of their main results by means of a new implementation of the method of exchangeable counterparts.
Keywords
Cite
@article{arxiv.2603.05803,
title = {Universality laws for random matrices via exchangeable counterparts},
author = {Joel A. Tropp},
journal= {arXiv preprint arXiv:2603.05803},
year = {2026}
}
Comments
33 pages