Dynamics of cellular automata on beta-shifts and direct topological factorizations
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Publication:6333544
DOI10.1007/978-3-030-48516-0_14zbMATH Open1521.37013arXiv2001.09699MaRDI QIDQ6333544
Publication date: 27 January 2020
Abstract: We consider the range of possible dynamics of cellular automata (CA) on two-sided beta-shifts . We show that any reversible CA has an almost equicontinuous direction whenever is not sofic. This has the corollary that non-sofic beta-shifts are topologically direct prime. We also make some preliminary observations on direct topological factorizations of beta-shifts that are subshifts of finite type.
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