39 citations · 66 across the 9 of their papers we have counts for
4 papers · 1 filter
A note on existence of free Stein kernels
Guillaume Cébron, Max Fathi, Tobias Mai
Stein kernels are a way of comparing probability distributions, defined via integration by parts formulas. We provide two constructions of Stein kernels in free probability. One is…
Operator-Valued Matrices with Free or Exchangeable Entries
Marwa Banna, Guillaume Cébron
We study matrices whose entries are free or exchangeable noncommutative elements in some tracial -probability space. More precisely, we consider operator-valued Wigner and Wis…
Large permutation invariant random matrices are asymptotically free over the diagonal
Benson Au, Guillaume Cébron, Antoine Dahlqvist +2
We prove that independent families of permutation invariant random matrices are asymptotically free over the diagonal, both in probability and in expectation, under a uniform bound…
A quantitative fourth moment theorem in free probability theory
Guillaume Cébron
A quantitative "fourth moment theorem" is provided for any self-adjoint element in a homogeneous Wigner chaos: the Wasserstein distance is controlled by the distance from the fourt…