Strictly periodic points and periodic factors of cellular automata

Abstract

We show that the set of strictly temporally periodic points of cellular automata with almost equicontinuous points is dense in the topological support of the measure. This extends a result of Lena, Margara and Dennunzio about the density of the set of strictly temporally periodic of cellular automata with equicontinuous points.

arXiv admin note: substantial text overlap with arXiv:1904.12302, arXiv:1806.10218