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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
Keywords: network dynamics;nonlinear dynamics
Date: 2020-06
Issue Date: 2021-01-25 14:24:21 (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  for some , 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.
Relation: Journal of Statistical Mechanics(2020) 073412
Data Type: article
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