Irrational eigenvalues of almost expansive cellular automata

2019/11/05 by Chemlal, Rezki
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1911.02474

Abstract

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 automaton cannot have irrational eigenvalues for the uniform measure.

Related

• Irrational eigenvalues of D-Dimensional Cellular automata
• Equicontinuous factors of one dimensional cellular automata
• Non-Uniform Cellular Automata: classes, dynamics, and decidability
• On the Garden of Eden theorem for non-uniform cellular automata
• Mean dimension of continuous cellular automata