Complexity and directional entropy in two dimensions
Dynamical Systems
2014-09-18 v1
Abstract
We study the directional entropy of the dynamical system associated to a configuration in a finite alphabet. We show that under local assumptions on the complexity, either every direction has zero topological entropy or some direction is periodic. In particular, we show that all nonexpansive directions in a system with the same local assumptions have zero directional entropy.
Cite
@article{arxiv.1409.5056,
title = {Complexity and directional entropy in two dimensions},
author = {Ryan Broderick and Van Cyr and Bryna Kra},
journal= {arXiv preprint arXiv:1409.5056},
year = {2014}
}