Mean equicontinuity and mean sensitivity on cellular automata (original) (raw)

Mean equicontinuity and mean sensitivity on cellular automata

Ergodic Theory and Dynamical Systems

Abstract

We show that a cellular automaton (or shift-endomorphism) on a transitive subshift is either almost equicontinuous or sensitive. On the other hand, we construct a cellular automaton on a full shift (hence a transitive subshift) that is neither almost mean equicontinuous nor mean sensitive.

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