Quantum reflections, random walks and cut-off
Probability
2018-07-03 v2 Operator Algebras
Quantum Algebra
Abstract
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 analogue of the result of U. Porod concerning certain mixtures of such reflections. We also study random walks on quantum reflection groups and more generally free wreath products of finite group by quantum permutation groups.
Cite
@article{arxiv.1802.09402,
title = {Quantum reflections, random walks and cut-off},
author = {Amaury Freslon},
journal= {arXiv preprint arXiv:1802.09402},
year = {2018}
}
Comments
19 pages. Minor corrections and updates