Combinatorics and topology of the Robinson tiling

2012/03/07 by Gähler, Franz, Julien, Antoine, Savinien, Jean
#Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1203.1387

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.

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