A random walk on the profinite completion of a finitely generated group

Manuel Cruz-López and Samuel Estala-Arias

Statistics & Probability Letters, 2018, vol. 143, issue C, 7-16

Abstract: This article describes an invariant random walk on the profinite completion of a finitely generated group which is also residually finite. The infinitesimal generator of the process is exhibited and it is proved that the process is recurrent.

Keywords: Profinite groups; Profinite completions; Random walks (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1016/j.spl.2018.07.016

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