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math-ph2025
Finite precursors of the free cumulants
Sylvain Lacroix, Jean-Bernard Zuber
We study invariant polynomials on the space of matrices first introduced by Capitaine and Casalis, that are precursors of free cumulants in various resp…
math-ph2006★ 33 cited
Correlation Functions of Harish-Chandra Integrals over the Orthogonal and the Symplectic Groups
A. Prats Ferrer, B. Eynard, P. Di Francesco +1
The Harish-Chandra correlation functions, i.e. integrals over compact groups of invariant monomials prod tr{X^{p_1} Omega Y^{q_1} Omega^dagger X^{p_2} ... with the weight exp tr{X…