Some properties of cellular automata with equicontinuity points

Details Some properties of cellular automata with equicontinuity points Some properties of cellular automata with equicontinuity points

2003-12-06

arxiv.org/abs/math/0312137v1

Ann. Inst. Henri Poincare, Probabilites et statistiques 36 (2000) 569-582

Mathematics

Dynamical Systems

Scientific paper

We investigate topological and ergodic properties of cellular automata having
equicontinuity points. In this class surjectivity on a transitive SFT implies
existence of a dense set of periodic points. Our main result is that under the
action of such an automaton any shift ergodic measure converges in Cesaro Mean.

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