4 citations · 10 across the 3 of their papers we have counts for
5 papers
Embedded surfaces with Anosov geodesic flows, approximating spherical billiards
Mickaël Kourganoff
We consider a billiard in the sphere S^2 with circular obstacles, and give a sufficient condition for its flow to be uniformly hyperbolic. We show that the billiard flow in this ca…
Uniform hyperbolicity in nonflat billiards
Mickaël Kourganoff
Uniform hyperbolicity is a strong chaotic property which holds, in particular, for Sinai billiards. In this paper, we consider the case of a nonflat billiard, that is, a Riemannian…
Anosov geodesic flows, billiards and linkages
Mickaël Kourganoff
Any smooth surface in R^3 may be flattened along the z-axis, and the flattened surface becomes close to a billiard table in R^2 . We show that, under some hypotheses, the geodesic…
Universality theorems for linkages in homogeneous surfaces
Mickaël Kourganoff
A mechanical linkage is a mechanism made of rigid rods linked together by flexible joints, in which some vertices are fixed and others may move. The partial configuration space of…
Universality theorems for linkages in the Minkowski plane
Mickaël Kourganoff
A mechanical linkage is a mechanism made of rigid rods linked together by flexible joints, in which some vertices are fixed and others may move. The partial configuration space of…