On structure of topological entropy for tree-shifts of finite type

題名	On structure of topological entropy for tree-shifts of finite type
作者	班榮超 Ban, Jung-Chao Chih-HungChang Wen-GueiHu Yu-LiangWu
貢獻者	應數系
關鍵詞	Tree-SFT ; Topological entropy
日期	2021-08
上傳時間	27-Oct-2021 11:00:06 (UTC+8)
摘要	This paper deals with the topological entropy for hom Markov shifts TM on d-tree. If M is a reducible adjacency matrix with q irreducible components M1,⋯,Mq, we show that h(TM)=max1≤i≤q⁡h(TMi) fails generally, and present a case study with full characterization in terms of the equality. Though that it is likely the sets {h(TM):M is binary and irreducible} and {h(TX):X is a one-sided shift} are not coincident, we show the two sets share the common closure. Despite the fact that such closure is proved to contain the interval [dlog⁡2,∞), numerical experiments suggest its complement contain open intervals.
關聯	Journal of Differential Equations, 292, 325-353
資料類型	article
DOI	https://doi.org/10.1016/j.jde.2021.05.016

dc.contributor	應數系
dc.creator (作者)	班榮超
dc.creator (作者)	Ban, Jung-Chao
dc.creator (作者)	Chih-HungChang
dc.creator (作者)	Wen-GueiHu
dc.creator (作者)	Yu-LiangWu
dc.date (日期)	2021-08
dc.date.accessioned	27-Oct-2021 11:00:06 (UTC+8)	-
dc.date.available	27-Oct-2021 11:00:06 (UTC+8)	-
dc.date.issued (上傳時間)	27-Oct-2021 11:00:06 (UTC+8)	-
dc.identifier.uri (URI)	http://nccur.lib.nccu.edu.tw/handle/140.119/137561	-
dc.description.abstract (摘要)	This paper deals with the topological entropy for hom Markov shifts TM on d-tree. If M is a reducible adjacency matrix with q irreducible components M1,⋯,Mq, we show that h(TM)=max1≤i≤q⁡h(TMi) fails generally, and present a case study with full characterization in terms of the equality. Though that it is likely the sets {h(TM):M is binary and irreducible} and {h(TX):X is a one-sided shift} are not coincident, we show the two sets share the common closure. Despite the fact that such closure is proved to contain the interval [dlog⁡2,∞), numerical experiments suggest its complement contain open intervals.
dc.format.extent	691234 bytes	-
dc.format.mimetype	application/pdf	-
dc.relation (關聯)	Journal of Differential Equations, 292, 325-353
dc.subject (關鍵詞)	Tree-SFT ; Topological entropy
dc.title (題名)	On structure of topological entropy for tree-shifts of finite type
dc.type (資料類型)	article
dc.identifier.doi (DOI)	10.1016/j.jde.2021.05.016
dc.doi.uri (DOI)	https://doi.org/10.1016/j.jde.2021.05.016