Loop Vertex Representation for Cumulants, Part II: Weingarten Calculus

Published 25 Oct 2025 in math.PR, math-ph, and math.MP | (2510.22372v1)

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.

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Vincent Rivasseau

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