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Space-Time Directional Lyapunov Exponents for Cellular Automata |
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| Authors: | M Courbage B Kamiński |
| Institution: | (1) Laboratoire Matière et Systèmes Complexes (MSC), UMR 7057 CNRS et Université Paris 7- Denis Diderot Case 7020, Tour 24-14, 5ème étage, 75251 Paris Cedex 05, France;(2) Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland |
| Abstract: | 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. |
| Keywords: | space-time directional Lyapounov exponents directional entropy cellular automata |
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