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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/137561

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/137561

Title:	On structure of topological entropy for tree-shifts of finite type
Authors:	班榮超 Ban, Jung-Chao Chih-HungChang Wen-GueiHu Yu-LiangWu
Contributors:	應數系
Keywords:	Tree-SFT;Topological entropy
Date:	2021-08
Issue Date:	2021-10-27 11:00:06 (UTC+8)
Abstract:	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.
Relation:	Journal of Differential Equations, 292, 325-353
Data Type:	article
DOI 連結:	https://doi.org/10.1016/j.jde.2021.05.016
DOI:	10.1016/j.jde.2021.05.016
Appears in Collections:	[應用數學系] 期刊論文

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