Self-similarity and Random Walks

被引:2
|
作者
Kaimanovich, Vadim A. [1 ]
机构
[1] Jacobs Univ Bremen, D-28759 Bremen, Germany
来源
FRACTAL GEOMETRY AND STOCHASTICS IV | 2009年 / 61卷
关键词
Self-similar group; random walk; amenability; entropy; BOUNDARY; AMENABILITY; AUTOMATON; ALGEBRAS; ENTROPY;
D O I
10.1007/978-3-0346-0030-9_2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This is an introductory level survey of some topics from a new branch of fractal analysis - the theory of self-similar groups. We discuss recent works on random walks on self-similar groups and their applications to the problem of amenability for these groups.
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页码:45 / 70
页数:26
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