Mathematics – Dynamical Systems
Scientific paper
2003-12-06
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.
Blanchard François
Tisseur Pierre
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