Combinatorics and topology of the Robinson tiling
Dynamical Systems
2012-03-08 v1 Combinatorics
Abstract
We study the space of all tilings which can be obtained using the Robinson tiles (this is a two-dimensional subshift of finite type). We prove that it has a unique minimal subshift, and describe it by means of a substitution. This description allows to compute its cohomology groups, and prove that it is a model set.
Cite
@article{arxiv.1203.1387,
title = {Combinatorics and topology of the Robinson tiling},
author = {Franz Gähler and Antoine Julien and Jean Savinien},
journal= {arXiv preprint arXiv:1203.1387},
year = {2012}
}
Comments
Contains a short version in French (2 pages), longer version in English (4 pages), and an appendix