New universal spectral correlators

TL;DR

This paper investigates the universal spectral properties of large random matrices, showing that eigenvalue distributions fall into classes determined solely by their spectral density support.

Contribution

It introduces a classification of eigenvalue distribution universality classes based on spectral density support in the large N limit.

Findings

Eigenvalue distributions are universal within classes defined by spectral support.

The universality classes are characterized solely by the spectral density support.

The results apply to large N random matrices across different ensembles.

Abstract

We study the universal properties of distributions of eigenvalues of random matrices in the large $N$ limit. The distributions fall in universality classes characterized entirely by the support of the spectral density.