72 citations · 94 across the 19 of their papers we have counts for
4 papers · 1 filter
Cutoff profiles for quantum Lévy processes and quantum random transpositions
Amaury Freslon, Lucas Teyssier, Simeng Wang
We consider a natural analogue of Brownian motion on free orthogonal quantum groups and prove that it exhibits a cutoff at time . Then, we study the induced classical proc…
Quantum reflections, random walks and cut-off
Amaury Freslon
We study the cut-off phenomenon for random walks on free unitary quantum groups coming from quantum conjugacy classes of classical reflections. We obtain in particular a quantum an…
Cut-off phenomenon for random walks on free orthogonal quantum groups
Amaury Freslon
We give bounds in total variation distance for random walks associated to pure central states on free orthogonal quantum groups. As a consequence, we prove that the analogue of the…
On bi-free De Finetti theorems
Amaury Freslon, Moritz Weber
We investigate possible generalizations of the de Finetti theorem to bi-free probability. We first introduce a twisted action of the quantum permutation groups corresponding to the…