Cellular automata and Lyapunov exponents
Tisseur, Pierre
HAL, hal-00000922 / Harvested from HAL
Text on HAL
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.
Publié le : 2000-07-05
Classification:  ergodic theory,  metric entropy,  Lyapunov exponents,  cellular automata,  37B15;37A35;37A25,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [NLIN.NLIN-CG]Nonlinear Sciences [physics]/Cellular Automata and Lattice Gases [nlin.CG] 
@article{hal-00000922,
     author = {Tisseur, Pierre},
     title = {Cellular automata and Lyapunov exponents},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00000922}
}

Tisseur, Pierre. Cellular automata and Lyapunov exponents. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00000922/