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math.PR2025
Weingarten Calculus with Virtual Isometries
Benoît Collins, Sho Matsumoto
In this paper, we develop a novel approach to the Weingarten calculus by employing the notion of virtual isometries. Traditionally, Weingarten calculus provides explicit formulas f…
math.PR2025
Weingarten calculus for centered random permutation matrices
Benoît Collins, Manasa Nagatsu
We introduce and study the Weingarten calculus for centered random permutation matrices in the symmetric group S_N. After presenting a formulation of the Weingarten calculus on the…