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arXiv · 2606.16283

Topological entropy in continuous orbit equivalence of one-sided topological Markov shifts

Kengo Matsumoto·Hiroki Matui
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Abstract

In this paper, we prove that the continuous orbit equivalence class of a one-sided topological Markov shift contains a one-sided topological Markov shift whose topological entropy is greater than an arbitrary prescribed positive real number, and also contains a one-sided topological Markov shift whose topological entropy is less than an arbitrary prescribed positive real number.

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Kengo Matsumoto, Hiroki Matui. 2026-06-15. Topological entropy in continuous orbit equivalence of one-sided topological Markov shifts. https://arxiv.org/abs/2606.16283

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