42 citations · 137 across the 14 of their papers we have counts for
14 papers
Energy landscape in two-dimensional Penrose-tiled quasicrystal
Patrizia Vignolo, Matthieu Bellec, Julian Boehm +4
Since their spectacular experimental realisation in the early 80's, quasicrystals have been the subject of very active research, whose domains extend far beyond the scope of solid…
Brillouin zone labelling for quasicrystals
Jean-Marc Gambaudo, Patrizia Vignolo
We propose a scheme to determine the energy-band dispersion of quasicrystals which does not require any periodic approximation and which directly provides the correct structure of…
Tilings of the plane and Thurston semi-norm
J. -R. Chazottes, J. -M. Gambaudo, F. Gautero
We show that the problem of tiling the Euclidean plane with a finite set of polygons (up to translation) boils down to prove the existence of zeros of a non-negative convex functio…
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…
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 finite-dimensional marginals of shift-invariant measures
J. -R. Chazottes, J. -M. Gambaudo, M. Hochman +1
Let be a finite alphabet, equipped with the shift action, and the simplex of shift-invariant measures on . We study the relation between…