104 citations · 277 across the 22 of their papers we have counts for
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Inefficiency of the block approximation in diploid Probabilistic Cellular Automata
Emilio N. M. Cirillo, Joram L. Vliem, Dirk Schuricht +1
We study a probabilistic cellular automaton obtained as a mixture of the additive elementary rules 60 and 102. We prove that, for any finite periodic lattice and for mixing paramet…
Block approximations for probabilistic mixtures of elementary cellular automata
E. N. M. Cirillo, G. Lancia, C. Spitoni
Probabilistic Cellular Automata are a generalization of Cellular Automata. Despite their simple definition, they exhibit fascinating and complex behaviours. The stationary behaviou…
Ergodicity versus non-ergodicity for Probabilistic Cellular Automata on rooted trees
Bruno Kimura, Wioletta Ruszel, Cristian Spitoni
In this article we study a class of shift-invariant and positive rate probabilistic cellular automata (PCA) on rooted d-regular trees . In a first result we extend th…