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Positive definite functions and cut-off for discrete groups
Published online by Cambridge University Press: 22 June 2020
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.
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- © Canadian Mathematical Society 2020
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