28 citations · 60 across the 14 of their papers we have counts for
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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…
math.DS2011★ 6 cited
On the dynamics of non-reducible cylindrical vortices
D. Coronel, A. Navas, M. Ponce
We study skew-maps given by a minimal homeomorphism on the basis and a cocycle of affine isometries on the fibers. We call such a map a cylindrical vortex. We extend to this settin…
math.DS2011★ 3 cited
On bounded cocycles of isometries over a minimal dynamics
D. Coronel, A. Navas, M. Ponce
We show the following geometric generalization of a classical theorem of W.H. Gottschalk and G.A. Hedlund: a skew action induced by a cocycle of (affine) isometries of a Hilbert sp…