On Bowen Entropy for Stable Sets in Positive Entropy Systems  

正熵系统稳定集的Bowen熵

作　　者：ZHANG Zhengwei YAN Kesong ZENG Fanping 张正威;严可颂;曾凡平(广西大学数学与信息科学学院,广西南宁530004;广西财经学院数学与数量经济学院,广西南宁530003;广西财经学院广西高校数量经济重点实验室,广西南宁530003)

机构地区：[1]College of Mathematics and Information Science,Guangxi University,Nanning,Guangxi,530004,P.R.China [2]School of Mathematics and Quantitative Economics,Guangxi University of Finance and Economics,Nanning,Guangxi,530003,P.R.China [3]Guangxi Key Laboratory of Quantitative Economics,Guangxi University of Finance and Economics,Nanning,Guangxi,530003,P.R.China

出　　处：《数学进展》2025年第1期99-112,共14页Advances in Mathematics(China)

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)。

摘　　要：In this paper,we study the Bowen entropy of stable sets in positive entropy G-system of amenable group actions.The lower bound of the Bowen entropy of these sets are estimated.本文研究了正熵顺从群作用G-系统稳定集的Bowen熵,得到稳定集Bowen熵的下界估计.

关 键 词：positive entropy stable set Bowen entropy amenable group action 

分 类 号：O19[理学—数学]