Self-Organized States in Cellular Automata: Exact Solution
classification
❄️ cond-mat.stat-mech
adap-orgastro-phcomp-gasnlin.AOnlin.CGphysics.class-phphysics.flu-dynphysics.plasm-ph
keywords
automatacellularself-organizedstatesalmostdynamicsexactexactly
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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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