Topological completely positive entropy is no simpler in $\mathbb Z^2$-SFTs
Dynamical Systems
2020-05-26 v4 Logic
Abstract
We construct Z^2-SFTs at every computable level of the hierarchy of topological completely positive entropy (TCPE), answering Barbieri and Garc\'{i}a-Ramos, who asked if there was one at level 3. Furthermore, we show the property of TCPE in Z^2-SFTs is coanalytic complete. Thus there is no simpler description of TCPE in Z^2-SFTs than in the general case.
Keywords
Cite
@article{arxiv.1904.11444,
title = {Topological completely positive entropy is no simpler in $\mathbb Z^2$-SFTs},
author = {Linda Westrick},
journal= {arXiv preprint arXiv:1904.11444},
year = {2020}
}
Comments
46 pages, second draft, comments welcome