Cellular automata and Lyapunov exponents

Details Cellular automata and Lyapunov exponents Cellular automata and Lyapunov exponents

2003-12-06

arxiv.org/abs/math/0312136v1

Nonlinearity 13 (2000) 1547-1560

Mathematics

Dynamical Systems

Scientific paper

10.1088/0951-7715/13/5/308

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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