On pointwise periodicity in tilings, cellular automata and subshifts
Dynamical Systems
2017-06-30 v2
Abstract
We study implications of expansiveness and pointwise periodicity for certain groups and semigroups of transformations. Among other things we prove that every pointwise periodic finitely generated group of cellular automata is necessarily finite. We also prove that a subshift over any finitely generated group that consists of finite orbits is finite, and related results for tilings of Euclidean space.
Keywords
Cite
@article{arxiv.1703.10013,
title = {On pointwise periodicity in tilings, cellular automata and subshifts},
author = {Tom Meyerovitch and Ville Salo},
journal= {arXiv preprint arXiv:1703.10013},
year = {2017}
}
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23 pages