42 citations · 137 across the 14 of their papers we have counts for
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math.DS2011★ 2 cited
Geometric realization for substitution tilings
Marcy Barge, Jean-Marc Gambaudo
Given an n-dimensional substitution whose associated linear expansion is unimodular and hyperbolic, we use elements of the one-dimensional integer Čech cohomology of the associated…
math.DS2011★ 4 cited
Linearly repetitive Delone sets are rectifiable
J. Aliste-Prieto, D. Coronel, J. -M. Gambaudo
In this paper we prove that, for any integer , every linearly repetitive Delone set in the Euclidean -space $\RR^d$ is equivalent, up to a bi-Lipschitz homeomorphism, to th…