Loop Vertex Representation for Cumulants, Part II: Weingarten Calculus
Probability
2025-10-28 v1 Mathematical Physics
math.MP
Abstract
In this paper we construct scalar cumulants for stable random matrix models with single trace interactions of arbitrarily high even order by Weingarten calculus. We obtain explicit and convergent expansions for these scalar cumulants in the limit N tend to infinity.
Cite
@article{arxiv.2510.22372,
title = {Loop Vertex Representation for Cumulants, Part II: Weingarten Calculus},
author = {Vincent Rivasseau},
journal= {arXiv preprint arXiv:2510.22372},
year = {2025}
}
Comments
24 pages, 10 figures