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arXiv · 2603.05803

Universality laws for random matrices via exchangeable counterparts

Joel A. Tropp
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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.

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Joel A. Tropp. 2026-03-06. Universality laws for random matrices via exchangeable counterparts. https://arxiv.org/abs/2603.05803

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