Generic properties of the geodesic flow in nonpositive curvature
De Yves Coudène
Apparaît également dans la collection : Exposés de recherche
I will survey recent results on the generic properties of probability measures invariant by the geodesic flow defined on a nonpositively curved manifold. Such a flow is one of the early example of a non-uniformly hyperbolic system. I will talk about ergodicity and mixing both in the compact and noncompact setting, and ask some questions about the associated frame flow, which is partially hyperbolic.