Mean equicontinuity and mean sensitivity on cellular automata

3 Mar 2020 · Luguis de los Santos Baños, Felipe García-Ramos ·

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.