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math.DS2019
Irrational eigenvalues of almost expansive cellular automata
Rezki Chemlal
We show that an almost expansive cellular automaton according to Gilman's classification cannot have irrational eigenvalues. This completes the proof that any surjective cellular a…
math.DS2019
Some topological properties of one dimensional cellular automata
Rezki Chemlal
Cellular automata, CA for short are continuous maps defined on the set of configurations over a finite alphabet A that commutes with the shift. They are characterized by the existe…