Polynomial Entropy of Amenable Group Actions for Noncompact Sets

被引：0
|
作者：
Lei Liu
Xiao Yao Zhou
机构：
[1] Shangqiu Normal University,School of Mathematics and Statistics
[2] Nanjing Normal University,School of Mathematical Sciences and Institute of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2023年 / 39卷
关键词：
Bowen polynomial entropy; local measure-theoretic polynomial entropy; variational principle; amenable group; 54H20; 37A35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we define and study polynomial entropy on an arbitrary subset and local measure theoretic polynomial entropy for any Borel probability measure on a compact metric space, and investigate the relation between local measure-theoretic polynomial entropy of Borel probability measures and polynomial entropy on an arbitrary subset. Also, we establish a variational principle for polynomial entropy on compact subsets in the context of amenable group actions.
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页码：1351 / 1368
页数：17
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