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arxiv: nlin/0603058 · v1 · submitted 2006-03-24 · 🌊 nlin.CG · math.DS· nlin.CD

Space-time directional Lyapunov exponents for cellular automata

classification 🌊 nlin.CG math.DSnlin.CD
keywords directionalexponentsvelocitylyapunovspace-timeautomatacellularcontinuity
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Space-time directional Lyapunov exponents are introduced. They describe the maximal velocity of propagation to the right or to the left of fronts of perturbations in a frame moving with a given velocity. The continuity of these exponents as function of the velocity and an inequality relating them to the directional entropy is proved.

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