Combinatorics and topology of the Robinson tiling

Details Combinatorics and topology of the Robinson tiling Combinatorics and topology of the Robinson tiling

2012-03-07

arxiv.org/abs/1203.1387v1

Mathematics

Dynamical Systems

Contains a short version in French (2 pages), longer version in English (4 pages), and an appendix

Scientific paper

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.

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