Combinatorics and topology of the Robinson tiling
| Autor: | Jean Savinien, Antoine Julien, Franz Gähler |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Discrete mathematics
Mathematics::Dynamical Systems Substitution (logic) Dynamical Systems (math.DS) General Medicine Subshift of finite type Space (mathematics) Cohomology FOS: Mathematics Mathematics - Combinatorics Model set Combinatorics (math.CO) Mathematics - Dynamical Systems Topology (chemistry) Mathematics |
| Zdroj: | Comptes Rendus Mathematique. 350:627-631 |
| ISSN: | 1631-073X |
| DOI: | 10.1016/j.crma.2012.06.007 |
| Popis: | 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. Contains a short version in French (2 pages), longer version in English (4 pages), and an appendix |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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