"Horocycle flows on Abelian covers of hyperbolic surfaces"Ravotti, DavideThe horocycle flow on the unit tangent bundle of a surface of constant negative curvature is the unit speed translation along the stable leaves of the geodesic flow. When the surface is compact or of finite volume, its qualitative (as well as, to a good extent, its quantitative) ergodic properties are well-understood. In this talk, I will focus on the infinite volume case, in particular I will discuss a joint work in progress with Livio Flaminio on mixing properties of horocycle flows on Abelian covers of compact surfaces. |
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