The strip entropy approximation of Markov tree-shifts

Jung-Chao Ban; Guan-Yu Lai; Cheng-Yu Tsai

doi:10.1080/14689367.2025.2513292

The strip entropy approximation of Markov tree-shifts

Jung-Chao Ban
, Guan-Yu Lai
, Cheng-Yu Tsai

Division of Natural Science

Research output: Contribution to journal › Journal Article › peer-review

1 Scopus citations

Abstract

The strip entropy is studied in this article. We prove that the strip entropy approximation is valid for every ray of a golden-mean tree. This result extends the previous result of [Petersen-Salama, Discrete & Continuous Dynamical Systems, 2020] on the conventional 2-tree. Lastly, we prove that the strip entropy approximation is valid for eventually periodic rays of a class of Markov-Cayley trees.

Original language	English
Pages (from-to)	586-601
Number of pages	16
Journal	Dynamical Systems
Volume	40
Issue number	4
DOIs	https://doi.org/10.1080/14689367.2025.2513292
State	Published - 04 06 2025

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Publisher Copyright:
© 2025 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

Entropy
strip entropy approximation
tree-shifts

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10.1080/14689367.2025.2513292

Cite this

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abstract = "The strip entropy is studied in this article. We prove that the strip entropy approximation is valid for every ray of a golden-mean tree. This result extends the previous result of [Petersen-Salama, Discrete \& Continuous Dynamical Systems, 2020] on the conventional 2-tree. Lastly, we prove that the strip entropy approximation is valid for eventually periodic rays of a class of Markov-Cayley trees.",

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N2 - The strip entropy is studied in this article. We prove that the strip entropy approximation is valid for every ray of a golden-mean tree. This result extends the previous result of [Petersen-Salama, Discrete & Continuous Dynamical Systems, 2020] on the conventional 2-tree. Lastly, we prove that the strip entropy approximation is valid for eventually periodic rays of a class of Markov-Cayley trees.

AB - The strip entropy is studied in this article. We prove that the strip entropy approximation is valid for every ray of a golden-mean tree. This result extends the previous result of [Petersen-Salama, Discrete & Continuous Dynamical Systems, 2020] on the conventional 2-tree. Lastly, we prove that the strip entropy approximation is valid for eventually periodic rays of a class of Markov-Cayley trees.

KW - Entropy

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KW - tree-shifts

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The strip entropy approximation of Markov tree-shifts

Abstract

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Keywords

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