Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum reflections, random walks and cut-off   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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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: eess
29
The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom