Geodesic
Positive definite functions and cut-off for discrete groups
Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 306-322

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DOI

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.
DOI : 10.4153/S0008439520000466
Mots-clés : Cut-off phenomenon, positive definite function, geometric group theory 
Freslon, Amaury. Positive definite functions and cut-off for discrete groups. Canadian mathematical bulletin, Tome 64 (2021) no. 2, pp. 306-322. doi: 10.4153/S0008439520000466
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     title = {Positive definite functions and cut-off for discrete groups},
     journal = {Canadian mathematical bulletin},
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     year = {2021},
     volume = {64},
     number = {2},
     doi = {10.4153/S0008439520000466},
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