Polynomial Entropy of Amenable Group Actions for Noncompact Sets

作     者：Lei LIU Xiao Yao ZHOU Lei LIU;Xiao Yao ZHOU

作者机构：School of Mathematics and StatisticsShangqiu Normal UniversityShangqiu 476000China School of Mathematical Sciences and Institute of MathematicsNanjing Normal UniversityNanjing 210023China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2023年第39卷第7期

页      面：1351-1368页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Foundation in higher education institutions of He’nan Province,P. R. China(Grant No. 23A110020) National Natural Science Foundation of China (Grant No. 11401363) the Foundation for the Training of Young Key Teachers in Colleges and Universities in He’nan Province,P. R. China (Grant No.2018GGJS134) supported by National Natural Science Foundation of China (Gratn No.11971236) China Postdoctoral Science Foundation (Grant No. 2016M591873) China Postdoctoral Science Special Foundation (Grant No. 2017T100384) funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions。 

主　　题：Bowen polynomial entropy local measure-theoretic polynomial entropy variational principle amenable group 

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.