2 papers
math.PR2020
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…
math.PR2019
Limit profile for random transpositions
Lucas Teyssier
We present an improved version of Diaconis' upper bound lemma, which is used to compute the limiting value of the distance to stationarity. We then apply it to random transposition…