Some properties of cellular automata with equicontinuity points
arXiv:math/0312137 · doi:10.1016/S0246-0203(00)00141-2
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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