An application of the ergodic theorem of information theory to Lyapunov exponents of cellular automata
KeywordsCellular automata, dynamical systems, entropy, local entropy, Lyapunov exponents
AbstractWe prove a generalization of the individual ergodic theorem of the information theory and we apply it to give a new proof of the Shereshevsky inequality connecting the metric entropy and Lyapunov exponents of dynamical systems generated by cellular automata.
How to Cite
BUŁATEK, Wojciech, COURBAGE, Maurice, KAMIŃSKI, Brunon & SZYMAŃSKI, Jerzy. An application of the ergodic theorem of information theory to Lyapunov exponents of cellular automata. Topological Methods in Nonlinear Analysis [online]. 1 December 2012, T. 40, nr 2, s. 415–427. [accessed 6.2.2023]. DOI 10.12775/TMNA.2012.039.
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