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.
On the relation between Lyapunov exponents and exponential decay of correlations
Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles
Global theory of one-frequency Schrodinger operators I: stratified analyticity of the Lyapunov exponent and the boundary of nonuniform hyperbolicity
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