Abstract
We obtain cluster expansions for small random perturbations of deterministic Toom's automata in the one-dimensional case. Exponential convergence follows. Analyticity of invariant measures is examined as well as the simplest multidimensional case.
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Berezner, S.A., Krutina, M. & Malyshev, V.A. Exponential convergence of Toom's probabilistic cellular automata. J Stat Phys 73, 927–944 (1993). https://doi.org/10.1007/BF01052816
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DOI: https://doi.org/10.1007/BF01052816