Topological Entropy of a Class of Subshifts of Finite Type

doi:10.1007/s10114-018-7439-5

CSpace > 应用数学研究所

	Topological Entropy of a Class of Subshifts of Finite Type
	Xu, Jin Zhong 1,2; 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.