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2 votes

Elementary cellular automata in stochastic modes

Concerning mode 3, exact results for a subset of elementary cellular automata are proved in this paper : Asynchronous behavior of double-quiescent elementary cellular automata.
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2 votes

A sensitive 2-dimensional cellular automaton with a blocking word

Proposition 4 of this paper (mentionned by Ville Salo in the comments) does the following: given a Wang tile set that does not tile the plane but tiles a $n\times n$ finite square, it constructs a CA …
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