Some properties of cellular automata with equicontinuity points

We investigate topological and ergodic properties of cellular automata having equicontinuity points. In this class surjectivity on a transitive SFT implies existence of a dense set of periodic points.Our main result is that under the action of such an automaton any shift ergodic measure converges in Cesaro Mean.

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Field Value
Source ISSN: 0020-2347
Author Blanchard, François, Tisseur, Pierre
Maintainer CCSD
Last Updated May 7, 2026, 15:39 (UTC)
Created May 7, 2026, 15:39 (UTC)
Identifier hal-00000924
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 Blanchard, François
date 2000-05-07T00:00:00
harvest_object_id 100a4782-a244-4e8f-b9d0-e4d7a5b219a6
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-03-09T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/math.DS/0312137
set_spec type:ART