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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/143279

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/143279

Title:	Topological entropy for shifts of finite type over Z and trees
Authors:	班榮超 Ban, Jung-Chao Chang, Chih-Hung;Hu, Wen-Guei;Wu, Yu-Liang
Contributors:	應數系
Keywords:	Tree-SFT;Topological entropy
Date:	2022-09
Issue Date:	2023-02-06 14:12:39 (UTC+8)
Abstract:	We study the topological entropy of hom tree-shifts and show that, although the topological entropy is not a conjugacy invariant for tree-shifts in general, it remains invariant for hom tree higher block shifts. In [16], [17], Petersen and Salama demonstrated the existence of topological entropy for tree-shifts and , where is the hom tree-shift derived from X. We characterize a necessary and sufficient condition when the equality holds for the case where X is a shift of finite type. Additionally, two novel phenomena have been revealed for tree-shifts. There is a gap in the set of topological entropy of hom tree-shifts of finite type, making such a set not dense. Last but not least, the topological entropy of a reducible hom tree-shift of finite type can be strictly larger than that of its maximal irreducible component.
Relation:	Theoretical Computer Science, Vol.930, pp.24-32
Data Type:	article
DOI link:	https://doi.org/10.1016/j.tcs.2022.07.007
DOI:	10.1016/j.tcs.2022.07.007
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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