5 citations · 6 across the 3 of their papers we have counts for
3 papers
math.OA2017★ 5 cited
Wavelets and spectral triples for higher-rank graphs
Carla Farsi, Elizabeth Gillaspy, Antoine Julien +2
In this paper, we present two new ways to associate a spectral triple to a higher-rank graph . Moreover, we prove that these spectral triples are intimately connected to the wav…
math.OA2014
On the noncommutative geometry of tilings
Antoine Julien, Johannes Kellendonk, Jean Savinien
This is a chapter in an incoming book on aperiodic order. We review results about the topology, the dynamics, and the combinatorics of aperiodically ordered tilings obtained with t…
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…