Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices
Geodätischer Fluß auf Mannigfaltigkeiten vom hyperbolischen Typ.
Geodesic Flow on SO(4) and Abelian Surfaces.
Geodesics and Totally Convex Sets on Surfaces.
Geodesics in the compactly supported Hamiltonian diffeomorphism group.
Geodesics on open surfaces containing horns
Geodesics on quadrics and a mechanical problem of C. Neumann.
Géodésiques et horocycles sur le revêtement d'homologie d'une surface hyperbolique
Geometry on the group of Hamiltonian diffeomorphisms.
Gradient-Like and Integrable Vector Fields on IR2.
Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold
We study the high-energy eigenfunctions of the Laplacian on a compact Riemannian manifold with Anosov geodesic flow. The localization of a semiclassical measure associated with a sequence of eigenfunctions is characterized by the Kolmogorov-Sinai entropy of this measure. We show that this entropy is necessarily bounded from below by a constant which, in the case of constant negative curvature, equals half the maximal entropy. In this sense, high-energy eigenfunctions are at least half-delocalized....
Hofer's L...-geometry: energy and stability of Hamiltonian flows, part I.
Hofer's L...-geometry: energy and stability of Hamiltonian flows, part II.
Hofer's L...-geometry: energy and stability of Hamiltonian flows, part II (Erratum).
Homologie des géodésiques fermées sur des variétés hyperboliques avec bouts cuspidaux
Homology of origamis with symmetries
Given an origami (square-tiled surface) with automorphism group , we compute the decomposition of the first homology group of into isotypic -submodules. Through the action of the affine group of on the homology group, we deduce some consequences for the multiplicities of the Lyapunov exponents of the Kontsevich-Zorich cocycle. We also construct and study several families of interesting origamis illustrating our results.
Horoballs in simplices and Minkowski spaces.
Hyperbolic dynamics of Euler-Lagrange flows on prescribed energy levels
Hyperbolic systems on nilpotent covers
We study the ergodicity of the weak and strong stable foliations of hyperbolic systems on nilpotent covers. Subshifts of finite type and geodesic flows on negatively curved manifolds are also considered.
Infinitesimal conjugacies and Weil-Petersson metric
We study deformations of compact Riemannian manifolds of negative curvature. We give an equation for the infinitesimal conjugacy between geodesic flows. This in turn allows us to compute derivatives of intersection of metrics. As a consequence we obtain a proof of a theorem of Wolpert.