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Self-Organized States in Cellular Automata: Exact Solution

M. V. Medvedev·P. H. Diamond
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Abstract

The spatial structure, fluctuations as well as all state probabilities of self-organized (steady) states of cellular automata can be found (almost) exactly and {\em explicitly} from their Markovian dynamics. The method is shown on an example of a natural sand pile model with a gradient threshold.

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M. V. Medvedev, P. H. Diamond. 1998-12-09. Self-Organized States in Cellular Automata: Exact Solution. https://doi.org/10.1103/physreve.58.6824

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