Cellular automata and Lyapunov exponents

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.

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Field	Value
Source	ISSN: 0951-7715
Author	Tisseur, Pierre
Maintainer	CCSD
Last Updated	May 7, 2026, 12:43 (UTC)
Created	May 7, 2026, 12:43 (UTC)
Identifier	hal-00000922
Language	en
Rights	https://about.hal.science/hal-authorisation-v1/
contributor	Institut de mathématiques de Luminy (IML) ; Université de la Méditerranée - Aix-Marseille 2-Centre National de la Recherche Scientifique (CNRS)
creator	Tisseur, Pierre
date	2000-05-07T00:00:00
harvest_object_id	75584635-0532-44f6-b316-f616fc56681f
harvest_source_id	3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title	test moissonnage SELUNE
metadata_modified	2024-04-16T00:00:00
relation	info:eu-repo/semantics/altIdentifier/arxiv/math.DS/0312136
set_spec	type:ART