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math.PR2022
Asymptotic cyclic-conditional freeness of random matrices
Guillaume Cébron, Nicolas Gilliers
Voiculescu's freeness emerges in computing the asymptotic of spectra of polynomials on random matrices with eigenspaces in generic positions: they are randomly rotated…
math.OA2022
Shuffle Algebras and Non-Commutative Probability for Pairs of Faces
Joscha Diehl, Malte Gerhold, Nicolas Gilliers
One can build an operatorial model for freeness by considering either the right-handed or the left-handed representation of algebras of operators acting on the free product of the…