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Cellular automata and Lyapunov exponents

Pierre Tisseur

math.DSarXiv:math/0312136

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.

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