Bowen entropy for actions of amenable groups

被引：1
|
作者：
Dongmei Zheng
Ercai Chen
机构：
[1] School of Mathematical Sciences and Institute of Mathematics Nanjing Normal University,Department of Applied Mathematics
[2] College of Science Nanjing Tech University,undefined
[3] School of Mathematical Sciences and Institute of Mathematics Nanjing Normal University,undefined
来源：
Israel Journal of Mathematics | 2016年 / 212卷
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学科分类号：
摘要：
Bowen introduced a definition of topological entropy of subset inspired by Hausdorff dimension in 1973 [1]. In this paper we consider the Bowen entropy for amenable group action dynamical systems and show that, under the tempered condition, the Bowen entropy of the whole compact space for a given Følner sequence equals the topological entropy. For the proof of this result, we establish a variational principle related to the Bowen entropy and the Brin–Katok local entropy formula for dynamical systems with amenable group actions.
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页码：895 / 911
页数：16
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