Exponential convergence of Toom's probabilistic cellular automata-Reference-Cited by-同舟云学术

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Exponential convergence of Toom's probabilistic cellular automata

Published:1993-12 Issue:5-6 Volume:73 Page:927-944
ISSN:0022-4715
Container-title:Journal of Statistical Physics
language:en
Short-container-title:J Stat Phys

Author:

Berezner S. A.,Krutina M.,Malyshev V. A.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/BF01052816.pdf

Reference8 articles.

1. T. M. Liggett,Interacting Particle Systems (Springer-Verlag, New York, 1985).

2. A. L. Toomet al., Probabilistic Cellular Automata (Pustchino, 1986) [in Russian].

3. A. V. Vasilyev, Correlation equations for the stationary measure of one Markov chain,Prob. Theor. Appl. 15(3):536?541 (1970) [in Russian].

4. S. A. Pirogov, Clustering expansion for cellular automata,Probl. Perd. Inf. 22:60?66 (1986) [in Russian].

5. I. A. Ignatyuk, V. A. Malyshev, and T. S. Turova,Processes with Small Local Interaction (Itogi Nauki Ser. Probability Theory, Moscow, 1990) [in Russian].

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3. Exponential Decay of Correlations for Strongly Coupled Toom Probabilistic Cellular Automata;Journal of Statistical Physics;2012-05

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