Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positive definite functions and cut-off for discrete groups   We consider the sequence of powers of a positive definite function on a
discrete group. Taking inspiration from random walks on compact quantum groups,
we give several examples of situations where a cut-off phenomenon occurs for
this sequence with respect to the operator norm of the regular representation,
including free groups and infinite Coxeter groups. We also give examples of
absence of cut-off using free groups again.

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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat