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Title:	Characterization for entropy of shifts of finite type on Cayley trees
Authors:	班榮超 Ban, Jung-Chao Chang, Chih-Hung
Contributors:	應數系
Date:	2020-07
Issue Date:	2021-10-27 10:59:24 (UTC+8)
Abstract:	The notion of tree-shifts constitutes an intermediate class between one-sided shift spaces and multidimensional ones. This paper proposes an algorithm for computing the entropy of a tree-shift of finite type. Meanwhile, the entropy of a tree-shift of finite type is 1plnλ1plnλ?--> for some p∈Np∈N?--> , where λ is a Perron number. This extends Lind`s work (1984 Ergod. Theor. Dynam. Syst. 4 283-300) on one-dimensional shifts of finite type. As an application, the entropy minimality problem is investigated, and we obtain a necessary and sufficient condition for a tree-shift of finite type to be entropy-minimal with some additional conditions. *This work is partially supported by the Ministry of Science and Technology, ROC
Relation:	Journal of Statistical Mechanics, Vol.2020, No.7, pp.073412
Data Type:	article
DOI link:	https://doi.org/10.1088/1742-5468/aba0a0
DOI:	10.1088/1742-5468/aba0a0
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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