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Induction and restriction of cellular automata

Published online by Cambridge University Press:  01 April 2009

TULLIO CECCHERINI-SILBERSTEIN  and
MICHEL COORNAERT
TULLIO CECCHERINI-SILBERSTEIN
Affiliation:
Dipartimento di Ingegneria, Università del Sannio, C.so Garibaldi 107, 82100 Benevento, Italy (email: [email protected])
MICHEL COORNAERT
Affiliation:
Institut de Recherche Mathématique Avancée, Université Louis Pasteur et CNRS, 7 rue René Descartes, 67084 Strasbourg Cedex, France (email: [email protected])
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Abstract

We analyze in detail the notions of induction and restriction for cellular automata. As a by-product we extend a few classical and recent theorems on cellular automata to uncountable groups.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 29 , Issue 2 , April 2009 , pp. 371 - 380
Copyright
Copyright © Cambridge University Press 2008

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