A note on dimensional entropy for amenable group actions
A note on dimensional entropy for amenable group actions
复制标题
关于可修正群行为的维熵的注释
DOI：
10.12775/tmna.2017.056
复制
发表时间：
2018
影响因子：
0.7
通讯作者：
Zhang Ruifeng
中科院分区：
文献类型：
--
作者：
Dou Dou;Zhang Ruifeng
In this short note, for countably infinite amenable group actions, we provide topological proofs for the following results: Bowen topological entropy (dimensional entropy) of the whole space equals the usual topological entropy along tempered F{\o}lner sequences; the Hausdorff dimension of an amenable subshift (for certain metric associated to some F{\o}lner sequence) equals its topological entropy. This answers questions by Zheng and Chen (Israel Journal of Mathematics 212 (2016), 895-911) and Simpson (Theory Comput. Syst. 56 (2015), 527-543).
