Addition to "Structured random matrices and cyclic cumulants: A free probability approach"
Probability
2025-05-28 v1 Mathematical Physics
math.MP
Abstract
We give a refined definition of the class of random matrix ensembles introduced in our paper "Structured random matrices and cyclic cumulants: A free probability approach" (arXiv:2309.14315) by extending the so-called fourth axiom to deal with cumulants of disjoint cycles. We argue that the theorems concerning the stability of such ensembles under non-linear transformations still hold with these refined axioms.
Keywords
Cite
@article{arxiv.2505.21376,
title = {Addition to "Structured random matrices and cyclic cumulants: A free probability approach"},
author = {Denis Bernard and Ludwig Hruza},
journal= {arXiv preprint arXiv:2505.21376},
year = {2025}
}
Comments
This is an addition/comment to arXiv:2309.14315