ENTROPY AND ACTIONS OF SOFIC GROUPS

被引：10

作者：

Weiss, Benjamin ^{[1
]}

机构：

[1] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2015年 / 20卷 / 10期

关键词：

Entropy; amenable groups; sofic groups; Bernoulli shifts; Kolmogorov's theorem;

D O I：

10.3934/dcdsb.2015.20.3375

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In recent years there has been a great deal of progress in the study of actions of countable groups. In particular, the concept of the entropy of an action has been extended to all sofic groups following the seminal work of Lewis Bowen. This survey is an invitation to these new developments. It includes a new proof of the analogue of Kolmogorov's theorem for sofic groups, namely that isomorphic Bernoulli shifts have the same base entropy.

引用

页码：3375 / 3383

页数：9

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