On Bowen Entropy for Stable Sets in Positive Entropy Systems

作     者：ZHANG Zhengwei YAN Kesong ZENG Fanping 张正威;严可颂;曾凡平

作者机构：College of Mathematics and Information ScienceGuangxi UniversityNanningGuangxi530004P.R.China School of Mathematics and Quantitative EconomicsGuangxi University of Finance and EconomicsNanningGuangxi530003P.R.China Guangxi Key Laboratory of Quantitative EconomicsGuangxi University of Finance and EconomicsNanningGuangxi530003P.R.China 

出 版 物：《数学进展》 (Advances in Mathematics(China))

年 卷 期：2025年第54卷第1期

页      面：99-112页

学科分类：0711[理学-系统科学] 07[理学] 070104[理学-应用数学] 071101[理学-系统理论] 0701[理学-数学] 

基　　金：Supported by NSFC(No.11861010),also supported by NSFC(No.12171175),also supported by NSFC(No.12261006) NSF of Guangxi Province(No.2018GXNSFFA281008) Project of Guangxi First Class Disciplines of Statistics(No.GJKY-2022-01) 

主　　题：positive entropy stable set Bowen entropy amenable group action 

摘      要：In this paper,we study the Bowen entropy of stable sets in positive entropy G-system of amenable group *** lower bound of the Bowen entropy of these sets are estimated.