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math.PR2014★ 2 cited
Probabilistic cellular automata with general alphabets letting a Markov chain invariant
Jérôme Casse
This paper is devoted to probabilistic cellular automata (PCA) on , or , depending of two neighbors, with a general alphabet (f…
math.PR2014
Markovianity of the invariant distribution of probabilistic cellular automata on the line
Jérôme Casse, Jean-François Marckert
We revisit the problem of finding the conditions under which synchronous probabilistic cellular automata indexed by the line , or the periodic line $\cyl{n}$, depending…