6 citations · 15 across the 8 of their papers we have counts for
9 papers
Piecewise rotations: limit set for the non -bijective maps
Nicolas Bédaride, Jean françois Bertazzon, Idrissa Kaboré
We consider non-bijective piecewise rotations of the plane. These maps belong to a family introduced in previous papers by Boshernitzan and Goetz. We derive in this paper some uppe…
Invariant measures on finite rank subshifts
Nicolas Bédaride, Arnaud Hilion, Martin Lustig
In this note we show that for any subshift of finite -rank every invariant measure is determined by its values on finitely many cylinders. Under mild conditions these cy…
Density of Binary Disc Packings: The 9 Compact Packings
Nicolas Bédaride, Thomas Fernique
A disc packing in the plane is compact if its contact graph is a triangulation. There are values of such that a compact packing by discs of radii and exists. We pro…
Tower power for -adics
Nicolas Bédaride, Arnaud Hilion, Martin Lustig
We explain and restate the results from our recent paper arXiv:1503.08000.v3 in standard language for substitutions and -adic systems in symbolic dynamics. We then produce as ra…
Icosahedral Tilings Revisited
Nicolas Bédaride, Thomas Fernique
Icosahedral tilings, although non-periodic, are known to be characterized by their configurations of some finite size. This characterization has also been expressed in terms of a s…
An example of PET. Computation of the Hausdorff dimension of the aperiodic set
Nicolas Bédaride, Jean-François Bertazzon
We introduce a family of piecewise isometries. This family is similar to the ones studied by Hooper and Schwartz. We prove that a renormalization scheme exists inside this family a…
Graph towers, laminations and their invariant measures
Nicolas Bédaride, Arnaud Hilion, Martin Lustig
In this paper we present a combinatorial machinery, consisting of a graph tower and vector towers on , which allows us to ef…
Classification of rotations on the torus
Nicolas Bédaride
We consider rotations on the torus , and we classify them with respect to the complexity functions. In dimension one, a minimal rotation can be coded by a sturmian wo…
Entropy of polyhedral billiard
Nicolas Bédaride
We consider the billiard map in a convex polyhedron of , and we prove that it is of zero topological entropy.