Strictly periodic points and periodic factors of cellular automata

2023/04/07 by Nacira Allaoua, Allaoua, Nacira, Rezki Chemlal +1
Computer Science · Materials Science · Mathematics · #Cellular Automata and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.2304.03860

openalex publication_date 2023/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Some topological properties of one dimensional cellular automata
• Jointly periodic points in cellular automata: computer explorations and conjectures
• Equicontinuous factors of one dimensional cellular automata
• Asymptotic behavior of dynamical systems and cellular automata
• Surjective Span 6 Cellular Automata