Signals for Cellular Automata in dimension 2 or higher

Jean-Christophe Dubacq (1, 2) , Véronique Terrier (3)

1 GREYC - Groupe de Recherche en Informatique, Image et Instrumentation de Caen
2 LRI - Laboratoire de Recherche en Informatique
3 Equipe AMACC - Laboratoire GREYC - UMR6072

We investigate how increasing the dimension of the array can help to draw signals on cellular automata.We show the existence of a gap of constructible signals in any dimension. We exhibit two cellular automata in dimension 2 to show that increasing the dimension allows to reduce the number of states required for some constructions.

Domaines: Complexité [cs.CC]; Combinatoire [math.CO]; Mathématique discrète [cs.DM]; Calcul parallèle, distribué et partagé [cs.DC]

Jean-Christophe Dubacq, Véronique Terrier. Signals for Cellular Automata in dimension 2 or higher. Latin 2002: Theoretical Informatics, 2002, Cancun, Mexico. pp.451-464. ⟨hal-00003469⟩