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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. © 2020 The Author(s). Published by Cambridge University Press.
almost equicontinuity; almost mean equicontinuity; cellular automata; mean equicontinuity; mean sensitivity
Mean equicontinuity and mean sensitivity on cellular automata
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Generically Dependent Continuant
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