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Coded equivalence of one-sided topological Markov shifts

2020/11/27 by Kengo Matsumoto, Matsumoto, Kengo
Computer Science · Mathematics · #Cellular Automata and Applications #Mathematical Dynamics and Fractals #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2011.13589

Abstract

We introduce a notion of coded equivalence in one-sided topological Markov shifts. The notion is inspired by coding theory. One-sided topological conjugacy implies coded equivalence. We will show that coded equivalence implies continuous orbit equivalence of one-sided topological Markov shifts.

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