Incremental universality of Wigner random matrices
Mathematical Physics
2025-05-07 v1 Disordered Systems and Neural Networks
Statistical Mechanics
math.MP
Abstract
Properties of universality have essential relevance for the theory of random matrices usually called the Wigner ensemble. The issue was analysed up to recent years with detailed and relevant results. We present a slightly different view and compare the large- limit of connected correlators of distinct ensembles: universality has steps or degrees, precisely counted by the number of probability moments of the matrix entries, which match among distinct ensembles.
Cite
@article{arxiv.2505.03714,
title = {Incremental universality of Wigner random matrices},
author = {Giovanni M. Cicuta and Mario Pernici},
journal= {arXiv preprint arXiv:2505.03714},
year = {2025}
}
Comments
main text 6 pp + SI 17 pp