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Dynamics of Cellular Automata on Beta-Shifts and Direct Topological Factorizations

We consider the range of possible dynamics of cellular automata (CA) on two-sided beta-shifts [Formula: see text]. We show that any reversible CA [Formula: see text] has an almost equicontinuous direction whenever [Formula: see text] is not sofic. This has the corollary that non-sofic beta-shifts ar...

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Detalles Bibliográficos
Autor principal: Kopra, Johan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7247874/
http://dx.doi.org/10.1007/978-3-030-48516-0_14