Scaling Properties of a Family of Transformations Defined on Cellular Automaton Rules
A one-parameter family of transformations defined on the set of one-dimensional two-state cellular automaton rules is studied. The class of a given cellular automaton is unchanged under these transformations. For class-3 cellular automata, the probability distribution of the asymptotic density of nonzero-value sites satisfies a simple scaling property.
KeywordsCellular Automaton Cellular Automaton Discrete Dynamical System Space Direction Asymptotic Density
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