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Some properties of cellular automata with equicontinuity points

Francois Blanchard·Pierre Tisseur
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Abstract

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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Francois Blanchard, Pierre Tisseur. 2003-12-06. Some properties of cellular automata with equicontinuity points. https://doi.org/10.1016/s0246-0203(00)00141-2

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