Quantum reflections, random walks and cut-off

Amaury Freslon

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arXiv · 1802.09402

Quantum reflections, random walks and cut-off

Amaury Freslon

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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.

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Amaury Freslon. 2018-02-26. Quantum reflections, random walks and cut-off. https://arxiv.org/abs/1802.09402

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