4 papers
Weingarten Calculus with Virtual Isometries
Benoît Collins, 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…
Smooth Multi-Trace Statistics of Classical Ensembles: Large Expansions, Cumulants, and Matrix Integrals
Benoît Collins, Manasa Nagatsu
We consider expectations of the form , where are self-adjoint polynomials in various independent classical random matrices and are…
Free cumulants and freeness for unitarily invariant random tensors
Benoit Collins, Razvan Gurau, Luca Lionni
We address the question of the asymptotic description of random tensors that are local-unitary invariant, that is, invariant by conjugation by tensor products of independent unitar…
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…