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Complexité et automates cellulaires linéaires

Published online by Cambridge University Press:  15 April 2002

Valérie Berthé
Valérie Berthé*
Affiliation:
IML, UPR 9016, Case 907, 163 avenue de Luminy, 13288 Marseille Cedex 09, France; ([email protected])
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Abstract

The aim of this paper is to evaluate the growth orderof the complexity function (in rectangles)for two-dimensional sequencesgenerated by a linear cellular automatonwith coefficients in $\mathbb{Z}/l \mathbb{Z}$ , and polynomial initial condition.We prove that the complexity functionis quadratic when l is a prime and that it increases with respect to the number of distinct prime factors of l.

Keywords

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 34 , Issue 5 , September 2000 , pp. 403 - 423
Copyright
© EDP Sciences, 2000

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