An application of the ergodic theorem of information theory to Lyapunov exponents of cellular automata
DOI:
https://doi.org/10.12775/TMNA.2012.039Keywords
Cellular automata, dynamical systems, entropy, local entropy, Lyapunov exponentsAbstract
We 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.Downloads
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2012-12-01
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BUŁATEK, Wojciech, COURBAGE, Maurice, KAMIŃSKI, Brunon and 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. Vol. 40, no. 2, pp. 415 - 427. [Accessed 24 April 2024]. DOI 10.12775/TMNA.2012.039.
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