Dynamics of Geodesic and Horocyclic Flows

Barbara Schapira (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

These notes were written for lectures at CIRM in spring 2014, where I presented in a unified way classical dynamical and ergodic properties of the horocyclic flow. Therefore, the writing is unformal. I will state several results, and sketch their proofs, because my aim is to show you how deeply the ergodic properties of the horocyclic flow and the geodesic flow are related.

Domaines: Systèmes dynamiques [math.DS]

Barbara Schapira. Dynamics of Geodesic and Horocyclic Flows. Ergodic Theory and Negative Curvature, 2164, pp.129-155, 2017, Lecture notes in mathematics, 978-3-319-43058-4. ⟨10.1007/978-3-319-43059-1_3⟩. ⟨hal-01882452⟩