Right-Permutative Cellular Automata on Topological Markov Chains
Abstract
In this paper we consider cellular automata (G,) with algebraic local rules and such that G is a topological Markov chain which has a structure compatible to this local rule. We characterize such cellular automata and study the convergence of the Ces\`aro mean distribution of the iterates of any probability measure with complete connections and summable decay.
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