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Random walks on unimodular p-adic groups

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  • Mustapha, Sami

Abstract

In a recent paper Pittet and Saloff-Coste established the lower bound , n=1,2,... for the large times asymptotic behaviours of the probabilities p2n(e,e) of return to the origin at even times 2n, for random walks associated with finite symmetric generating sets of solvable groups of finite Prüfer rank and asked if a similar lower bound is available in the case of the semi-direct product . In this paper, we give an answer to this problem.

Suggested Citation

  • Mustapha, Sami, 2005. "Random walks on unimodular p-adic groups," Stochastic Processes and their Applications, Elsevier, vol. 115(6), pages 927-937, June.
    • Handle: RePEc:eee:spapps:v:115:y:2005:i:6:p:927-937
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    Cited by:

    1. Sami Mustapha, 2006. "Gaussian Estimates for Random Walks on Some Unimodular p-adic Groups," Journal of Theoretical Probability, Springer, vol. 19(4), pages 773-787, December.

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    Keywords

    Random walks p-adic groups;

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