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Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/158887

Title:	The strip entropy approximation of Markov tree-shifts on Markov-Cayley trees
Authors:	班榮超 Ban, Jung-Chao;Lai, Guan-Yu;Tsai, Cheng-Yu
Contributors:	應數系
Keywords:	Topological entropy;Strip entropy approximation;Markov tree-shifts;Rate of convergence
Date:	2025-08
Issue Date:	2025-08-21 09:34:37 (UTC+8)
Abstract:	The strip entropy is studied in this article. First, we prove that the strip entropy approximation is valid for some ray of Markov tree-shifts on Markov-Cayley trees. This result extends the previous result of [Petersen-Salama, Discrete & Continuous Dynamical Systems, 2020] on the conventional 2 tree. Second, we obtain that the rates of convergence of tree-shift associated with a primitive matrix A on the d tree are linear (with respect to the number of points in transversal direction), which is reminiscent of the result on Z2 [Pavlov, The Annals of Probability, 2012]. Lastly, we prove that the rates of convergence of strip entropy approximation are closely related to the expanding constant of the Markov-Cayley trees.
Relation:	Monatshefte für Mathematik
Data Type:	article
DOI 連結:	https://doi.org/10.1007/s00605-025-02102-0
DOI:	10.1007/s00605-025-02102-0
Appears in Collections:	[應用數學系] 期刊論文

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