The dynamics of expansive invertible onesided cellular automata

Nasu, Masakazu

doi:10.1090/S0002-9947-02-03062-3

The dynamics of expansive invertible onesided cellular automata
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by Masakazu Nasu

Trans. Amer. Math. Soc. 354 (2002), 4067-4084

DOI: https://doi.org/10.1090/S0002-9947-02-03062-3

Published electronically: June 4, 2002

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Abstract:

Using textile systems, we prove the conjecture of Boyle and Maass that the dynamical system defined by an expansive invertible onesided cellular automaton is topologically conjugate to a topological Markov shift. We also study expansive leftmost-permutive onesided cellular automata and bipermutive endomorphisms of mixing topological Markov shifts.

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