Positive definite functions and cut-off for discrete groups
Keyword(s):
Abstract 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, including free groups and infinite Coxeter groups. We also give examples of absence of cut-off using free groups again.
2016 ◽
Vol 37
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pp. 1657-1680
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1969 ◽
Vol 21
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pp. 1309-1318
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2019 ◽
Vol 18
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pp. 1950155
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2018 ◽
Vol 61
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pp. 179-200
2009 ◽
Vol 52
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pp. 445-487
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1998 ◽
Vol 57
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pp. 153-158
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