Irrational eigenvalues of almost expansive cellular automata
Dynamical Systems
2022-08-24 v2
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.
Cite
@article{arxiv.1911.02474,
title = {Irrational eigenvalues of almost expansive cellular automata},
author = {Rezki Chemlal},
journal= {arXiv preprint arXiv:1911.02474},
year = {2022}
}
Comments
Major error in the proof of the main result