Cantor equicontinuous factors of the Coven cellular automaton of three neighbours

Saliha Djenaoui (1)

1 Laboratory of Applied Mathematics and Modeling

We prove a sucient condition for the non-existence of a nontrivial Cantor equicontinuous factor in dynamical systems. We study the Coven cellular automaton of three neighbours to show that it does not have a nontrivial Cantor equicontinuous factor. Through this study, we show that the blocking words in this cellular automaton are all of the same form.

Mots clés: Dynamical systems; equicontinuous factor; cellular automata

Domaines: Mathématiques [math]

Saliha Djenaoui. Cantor equicontinuous factors of the Coven cellular automaton of three neighbours. AUTOMATA 2021, Jul 2021, Marseille, France. ⟨hal-03264049⟩