Abstract : 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.
https://hal-upec-upem.archives-ouvertes.fr/hal-03264049 Contributor : Saliha DjenaouiConnect in order to contact the contributor Submitted on : Thursday, June 17, 2021 - 6:47:19 PM Last modification on : Tuesday, June 29, 2021 - 3:02:05 AM Long-term archiving on: : Saturday, September 18, 2021 - 6:59:47 PM
Saliha Djenaoui. Cantor equicontinuous factors of the Coven cellular automaton of three neighbours. AUTOMATA 2021, Jul 2021, Marseille, France. ⟨hal-03264049⟩