The Generic Limit Set of Cellular Automata - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Cellular Automata Année : 2019

The Generic Limit Set of Cellular Automata

Pierre Guillon
Saliha Djenaoui
  • Fonction : Auteur
  • PersonId : 1035846

Résumé

In topological dynamics, the generic limit set is the smallest closed subset which has a comeager realm of attraction. We study some of its topological properties, and the links with equicontinuity and sensitivity. We emphasize the case of cellular automata, for which the generic limit set is included in all subshift attractors, and discuss directional dynamics, as well as the link with measure-theoretical similar notions.
Fichier non déposé

Dates et versions

Identifiants

  • HAL Id : hal-03101960 , version 1

Citer

Pierre Guillon, Saliha Djenaoui. The Generic Limit Set of Cellular Automata. Journal of Cellular Automata, 2019, 14, pp.435-477. ⟨hal-03101960⟩
67 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More