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Combinatorics and topology of the Robinson tiling

Authors :
Gähler, Franz
Julien, Antoine
Savinien, Jean
Publication Year :
2012

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.<br />Comment: Contains a short version in French (2 pages), longer version in English (4 pages), and an appendix

Details

Language :
French
Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1203.1387
Document Type :
Working Paper