26 citations · 62 across the 12 of their papers we have counts for
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math.GN2010★ 1 cited
Embedding of self-similar ultrametric Cantor sets
A. Julien, J. Savinien
We study self-similar ultrametric Cantor sets arising from stationary Bratteli diagrams. We prove that such a Cantor set C is bi-Lipschitz embeddable in R^(d+1), where d denotes th…
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…