Some properties of cellular automata with equicontinuity points
Dynamical Systems
2015-06-26 v1 Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.math/0312137,
title = {Some properties of cellular automata with equicontinuity points},
author = {Francois Blanchard and Pierre Tisseur},
journal= {arXiv preprint arXiv:math/0312137},
year = {2015}
}