Random walks on abelian-by-cyclic groups

Pittet, Christophe; Saloff-Coste, Laurent

doi:10.1090/S0002-9939-02-06674-1

Random walks on abelian-by-cyclic groups
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by Christophe Pittet and Laurent Saloff-Coste PDF

Proc. Amer. Math. Soc. 131 (2003), 1071-1079 Request permission

Abstract:

We describe the large time asymptotic behaviors of the probabilities $p_{2t}(e,e)$ of return to the origin associated to finite symmetric generating sets of abelian-by-cyclic groups. We characterize the different asymptotic behaviors by simple algebraic properties of the groups.

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