Exponential convergence of Toom's probabilistic cellular automata
| Autor: | Berezner, S. A., Krutina, M., Malyshev, V. A. |
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| Zdroj: | Journal of Statistical Physics; December 1993, Vol. 73 Issue: 5-6 p927-944, 18p |
| Abstrakt: | 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. |
| Databáze: | Supplemental Index |
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