Aperiodic tilings and entropy
Logic in Computer Science
2017-03-02 v2 Dynamical Systems
Abstract
In this paper we present a construction of Kari-Culik aperiodic tile set - the smallest known until now. With the help of this construction, we prove that this tileset has positive entropy. We also explain why this result was not expected.
Cite
@article{arxiv.1312.4126,
title = {Aperiodic tilings and entropy},
author = {Bruno Durand and Guilhem Gamard and Anael Grandjean},
journal= {arXiv preprint arXiv:1312.4126},
year = {2017}
}