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Cantor equicontinuous factors of the Coven cellular automaton of three neighbours

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.
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https://hal-upec-upem.archives-ouvertes.fr/hal-03264049
Contributor : Saliha Djenaoui Connect 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

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  • HAL Id : hal-03264049, version 1

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

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