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arXiv:2003.01311 [math.DS]AbstractReferencesReviewsResources

Mean equicontinuity and mean sensitivity on cellular automata

Luguis de los Santos Baños, Felipe García-Ramos

Published 2020-03-03Version 1

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.

Categories: math.DS, nlin.CG
Subjects: 37B05, 37B10, 37B15
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