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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/130214

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Title:	Tree-shifts: The entropy of tree-shifts of finite type
Authors:	班榮超 Ban, Jung-Chao Chang, Chih-Hung
Contributors:	應數系
Date:	2017-06
Issue Date:	2020-06-22 13:45:44 (UTC+8)
Abstract:	This paper studies the entropy of tree-shifts of finite type with and without boundary conditions. We demonstrate that computing the entropy of a tree-shift of finite type is equivalent to solving a system of nonlinear recurrence equations. Furthermore, the entropy of the binary Markov tree-shifts over two symbols is either 0 or ln 2. Meanwhile, the realization of a class of reals including multinacci numbers is elaborated, which indicates that tree-shifts are capable of rich phenomena. By considering the influence of three different types of boundary conditions, say, the periodic, Dirichlet, and Neumann boundary conditions, the necessary and sufficient conditions for the coincidence of entropy with and without boundary conditions are addressed.
Relation:	Nonlinearity, Vol.30, No.7, pp.2785
Data Type:	article
DOI link:	https://doi.org/10.1088/1361-6544/aa72c0
DOI:	10.1088/1361-6544/aa72c0
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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