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- W2912387605 abstract "For an arbitrary group $G$ and arbitrary set $A$, we define a monoid structure on the set of all uniformly continuous functions $A^Gto A$ and then we show that it is naturally isomorphic to the monoid of cellular automata $mathrm{CA}(G, A)$. This gives a new equivalent definition of a cellular automaton over the group $G$ with alphabet set $A$. We use this new interpretation to give a simple proof of the theorem of Curtis-Hedlund." @default.
- W2912387605 created "2019-02-21" @default.
- W2912387605 creator A5006939106 @default.
- W2912387605 date "2019-01-29" @default.
- W2912387605 modified "2023-10-07" @default.
- W2912387605 title "A note on cellular automata" @default.
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- W2912387605 hasPublicationYear "2019" @default.
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