Bowen topological entropy of subsets for amenable group actions
文献类型：期刊论文
| 作者 | Huang, Xiaojun1; Liu, Jinsong2,3 ; Zhu, Changrong1
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2019-04-15 |
| 卷号 | 472期号:2页码:1678-1715 |
| 关键词 | Bowen topological entropy Topological entropy Local entropy of measures Amenable group Subgroup formula |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2018.12.017 |
| 英文摘要 | We extend the definition of Bowen topological entropy of subsets to continuous action of amenable groups on a compact metrizable space. We investigate how Bowen topological entropy behaves for restricted actions of finite-index subgroups and verify the validity of the subgroup formula. We also show that the Bowen topological entropy of subsets for amenable group actions can be determined via the local entropies of measures. As applications, we compute the Bowen topological entropy of a subset for Bernoulli shift over amenable groups. (C) 2018 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11671057] ; National Natural Science Foundation of China[11471318] ; National Natural Science Foundation of China[11671058] ; National Natural Science Foundation of China[11688101] ; Fundamental Research Funds for the Central Universities[2018CDQYST0023] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000456359000022 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32244]  |
| 专题 | 数学所 |
| 通讯作者 | Huang, Xiaojun |
| 作者单位 | 1.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Xiaojun,Liu, Jinsong,Zhu, Changrong. Bowen topological entropy of subsets for amenable group actions[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2019,472(2):1678-1715. |
| APA | Huang, Xiaojun,Liu, Jinsong,&Zhu, Changrong.(2019).Bowen topological entropy of subsets for amenable group actions.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,472(2),1678-1715. |
| MLA | Huang, Xiaojun,et al."Bowen topological entropy of subsets for amenable group actions".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 472.2(2019):1678-1715. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。