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The strip entropy approximation of Markov shifts on trees

Dynamical Systems 2023-09-04 v1

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.

Keywords

Cite

@article{arxiv.2309.00309,
  title  = {The strip entropy approximation of Markov shifts on trees},
  author = {Jung-Chao Ban and Guan-Yu Lai and Cheng-Yu Tsai},
  journal= {arXiv preprint arXiv:2309.00309},
  year   = {2023}
}