Year: 2025
Type: article
Abstract: In this paper we study the cumulants for stable random matrix models with single trace interactions of arbitrarily high even order. We obtain explicit and convergent expansions for it and we prove that it is an analytic function inside a cardioid domain in the complex plane. We also prove their Borel–LeRoy summability at the origin of the coupling constant. Our proof is uniform in the external variables.
Source: Journal of Mathematical Physics
DOI: 10.1063/5.0212083
Author: V. Rivasseau
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416460898