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

被引:0
|
作者
Cruz-Lopez, Manuel [1 ]
Estala-Arias, Samuel [2 ]
机构
[1] Univ Guanajuato, Dept Matemat, Jalisco S-N Mineral Valenciana, Guanajuato 36240, Gto, Mexico
[2] Univ Nacl Autonoma Mexico, IMATE JU, Mexico City, DF, Mexico
关键词
Profinite groups; Profinite completions; Random walks; MARKOV-PROCESSES;
D O I
10.1016/j.spl.2018.07.016
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
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. (C) 2018 Published by Elsevier B.V.
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页码:7 / 16
页数:10
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