26 citations · 59 across the 12 of their papers we have counts for
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math.OA2010★ 1 cited
Spectral triples and aperiodic order
J. Kellendonk, J. Savinien
We construct spectral triples for compact metric spaces (X, d). This provides us with a new metric d_s on X. We study its relation with the original metric d. When X is a subshift…
math.DS2010
Tiling groupoids and Bratteli diagrams II: structure of the orbit equivalence relation
Antoine Julien, Jean Savinien
In this second paper, we study the case of substitution tilings of R^d. The substitution on tiles induces substitutions on the faces of the tiles of all dimensions j=0, ..., d-1. W…