Mean equicontinuity and mean sensitivity on cellular automata

22 Aug 2020 Baños Luguis de los Santos García-Ramos Felipe

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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Categories


  • DYNAMICAL SYSTEMS
  • CELLULAR AUTOMATA AND LATTICE GASES