Berezner S.A., Krutina M., Malyshev V.A. — Exponential Convergence of Toom's Probabilistic Cellular Automata
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Название: Exponential Convergence of Toom's Probabilistic Cellular Automata
Авторы: Berezner S.A., Krutina M., Malyshev V.A.
Аннотация:
Journal of Statistical Physics, Vol. 73, Nos. 5/6, 1993. p. 927-944.
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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