Cellular automata and Lyapunov exponents
Dynamical Systems
2009-11-10 v1 Mathematical Physics
math.MP
Cellular Automata and Lattice Gases
Abstract
In this article we give a new definition of some analog of Lyapunov exponents for cellular automata . Then for a shift ergodic and cellular automaton invariant probability measure we establish an inequality between the entropy of the automaton, the entropy of the shift and the Lyapunov exponent.
Keywords
Cite
@article{arxiv.math/0312136,
title = {Cellular automata and Lyapunov exponents},
author = {Pierre Tisseur},
journal= {arXiv preprint arXiv:math/0312136},
year = {2009}
}