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math.DS2025
Irrational eigenvalues of D-Dimensional Cellular automata
Nassima Ait Sadi, Rezki Chemlal
Cellular automata are dynamical systems defined on lattices and commuting with the Bernoulli shift. In this work, we focus on the spectral properties of D-dimensional cellular auto…
math.DS2023
Strictly periodic points and periodic factors of cellular automata
Nacira Allaoua, Rezki Chemlal
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…