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...

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • DYNAMICAL SYSTEMS
  • CELLULAR AUTOMATA AND LATTICE GASES
  • 37B05 37B10 37B15