Topological Entropy of a Class of Subshifts of Finite Type
文献类型：期刊论文
| 作者 | Xu, Jin Zhong1,2; Wang, Lan Yu3
|
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2018-12-01 |
| 卷号 | 34期号:12页码:1765-1777 |
| ISSN号 | 1439-8516 |
| 关键词 | Symbolic dynamical system subshift of finite type topological entropy transfer matrix Toeplitz matrix |
| DOI | 10.1007/s10114-018-7439-5 |
| 英文摘要 | In this paper, we construct a special class of subshifts of finite type. By studying the spectral radius of the transfer matrix associated with the subshift of finite type, we obtain an estimation of its topological entropy. Interestingly, we find that the topological entropy of this class of subshifts of finite type converges monotonically to log(n + 1) (a constant only depends on the structure of the transfer matrices) as the increasing of the order of the transfer matrices. |
| 资助项目 | National Science Foundation of China[11371346] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SPRINGER HEIDELBERG |
| WOS记录号 | WOS:000451046300001 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31803]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Xu, Jin Zhong |
| 作者单位 | 1.Chinese Acad Sci, Key Lab Space Utilizat, Technol & Engn Ctr Space Utilizat, Beijing 100094, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Jin Zhong,Wang, Lan Yu. Topological Entropy of a Class of Subshifts of Finite Type[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2018,34(12):1765-1777. |
| APA | Xu, Jin Zhong,&Wang, Lan Yu.(2018).Topological Entropy of a Class of Subshifts of Finite Type.ACTA MATHEMATICA SINICA-ENGLISH SERIES,34(12),1765-1777. |
| MLA | Xu, Jin Zhong,et al."Topological Entropy of a Class of Subshifts of Finite Type".ACTA MATHEMATICA SINICA-ENGLISH SERIES 34.12(2018):1765-1777. |
入库方式： OAI收割
来源：数学与系统科学研究院
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