2003/12/06 by Pierre Tisseur · 1 citation
Mathematics · Physics and Astronomy · #math.DS #math-ph #math.MP #nlin.CG #msc:37B15 #msc:37A35 #msc:37A25
paper · pdf · doi:10.1088/0951-7715/13/5/308
published as Nonlinearity 13 (2000) 1547-1560
arxiv created 2003/12/06 · arxiv updated 2009/12/01
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.