KMS Of Academy of mathematics and systems sciences, CAS
Topological Entropy of a Class of Subshifts of Finite Type | |
Xu, Jin Zhong1,2; Wang, Lan Yu3 | |
2018-12-01 | |
发表期刊 | ACTA MATHEMATICA SINICA-ENGLISH SERIES |
ISSN | 1439-8516 |
卷号 | 34期号:12页码:1765-1777 |
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. |
关键词 | Symbolic dynamical system subshift of finite type topological entropy transfer matrix Toeplitz matrix |
DOI | 10.1007/s10114-018-7439-5 |
语种 | 英语 |
资助项目 | National Science Foundation of China[11371346] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000451046300001 |
出版者 | SPRINGER HEIDELBERG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/31804 |
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. |
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