An application of the ergodic theorem of information theory to Lyapunov exponents of cellular automata

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DOI:

https://doi.org/10.12775/TMNA.2012.039

Keywords

Cellular automata, dynamical systems, entropy, local entropy, Lyapunov exponents

Abstract

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.

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Published

2012-12-01

How to Cite

1.
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 5 July 2025]. DOI 10.12775/TMNA.2012.039.

Issue

Vol 40, No 2 (December 2012)

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Articles

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