26 citations · 59 across the 12 of their papers we have counts for
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math.OA2009★ 26 cited
Tiling groupoids and Bratteli diagrams
J. Bellissard, A. Julien, J. Savinien
Let T be an aperiodic and repetitive tiling of R^d with finite local complexity. Let O be its tiling space with canonical transversal X. The tiling equivalence relation R_X is the…
math.OA2009★ 22 cited
Transverse Laplacians for Substitution Tilings
Antoine Julien, Jean Savinien
Pearson and Bellissard recently built a spectral triple - the data of Riemanian noncommutative geometry - for ultrametric Cantor sets. They derived a family of Laplace-Beltrami lik…