Finite free convolutions via Weingarten calculus

DOI10.1142/s2010326321500386arXiv1907.01009OpenAlexW3092046384MaRDI QIDQ6063724

Jacob Campbell, Zhi Yin

Publication date: 8 November 2023

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01009

zbMATH Keywords

hyperoctahedral groupWeingarten calculuszonal functionspolynomial convolutionfinite free convolution

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Free probability and free operator algebras (46L54)

Related Items (1)

Finite free cumulants: Multiplicative convolutions, genus expansion and infinitesimal distributions

Cites Work

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• Liberation of orthogonal Lie groups
• Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
• Ramanujan coverings of graphs
• Finite free convolutions of polynomials
• On some properties of orthogonal Weingarten functions
• Asymptotic behavior of group integrals in the limit of infinite rank

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