SELF-ORGANIZED STATES IN CELLULAR AUTOMATA : EXACT SOLUTION

The spatial structure, fluctuations as well as all state probabilities of self-organized (steady) states of cellular automata can be found (almost) exactly and {ital explicitly} from their Markovian dynamics. The method is shown on an example of a natural sand pile model with a gradient threshold. {copyright} {ital 1998} {ital The American Physical Society}