Publications (4)
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…
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…
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…
Rapid convergence to frequency for Substitution Tilings of the Plane
J. Aliste-Prieto, D. Coronel, J. -M. Gambaudo
This paper concerns self-similar tilings in dimension 2. We consider the number of occurrences of a given tile in any domain bounded by a Jordan curve. For a large class of self-si…