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arXiv · 2309.00309

The strip entropy approximation of Markov shifts on trees

Jung-Chao Ban·Guan-Yu Lai·Cheng-Yu Tsai
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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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Jung-Chao Ban, Guan-Yu Lai, Cheng-Yu Tsai. 2023-09-01. The strip entropy approximation of Markov shifts on trees. https://arxiv.org/abs/2309.00309

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