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Horocyclic flows on hyperbolic surfaces - Part I

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Post-edited
Authors : Schapira, Barbara (Author of the conference)
CIRM (Publisher )

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geodesics horocycles geodesic flow horocyclic flow hyperbolic surface Schottky group local product structure strong stable manifold limit set quasi minimizing horospherical limit point topological mixing radial limit point closing lemma transitivity Hopf coordinates

Abstract : I will present results on the dynamics of horocyclic flows on the unit tangent bundle of hyperbolic surfaces, density and equidistribution properties in particular. I will focus on infinite volume hyperbolic surfaces. My aim is to show how these properties are related to dynamical properties of geodesic flows, as product structure, ergodicity, mixing, ...

MSC Codes :
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 28/04/14
    Conference Date : 01/04/14
    Subseries : Research School
    arXiv category : Dynamical Systems
    Mathematical Area(s) : Dynamical Systems & ODE
    Format : QuickTime (.mov) Video Time : 01:34:12
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2014-04-01_Schapira.mp4

Information on the Event

Event Title : Jean-Morlet Chair : School on geometry and dynamics / Chaire Jean-Morlet : Géométrie et systèmes dynamiques
Event Organizers : Bedaride, Nicolas ; Bufetov, Alexander ; Duchin, Moon ; Hasselblatt, Boris ; Hubert, Pascal ; Rodriguez Hertz, Federico
Dates : 31/03/14 - 04/04/14
Event Year : 2014
Event URL : http://geomdynmrs14.sciencesconf.org/

Citation Data

DOI : 10.24350/CIRM.V.18476903
Cite this video as: Schapira, Barbara (2014). Horocyclic flows on hyperbolic surfaces - Part I. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18476903
URI : http://dx.doi.org/10.24350/CIRM.V.18476903

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