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On the ergodicity of billiards in non-rational polygons
Multi angle
Authors : Forni, Giovanni (Author of the conference)
CIRM (Publisher )
30F10 - Compact Riemann surfaces and uniformization [See also 14H15, 32G15]
30F60 - Teichmüller theory
32G15 - Moduli of Riemann surfaces, Teichmüller theory
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
37D50 - Hyperbolic systems with singularities (billiards, etc.)
CIRM (Publisher )
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Abstract :
We will present a geometric criterion for the ergodicity of the billiard flow in a polygon with non-rational angles and discuss its application to the Diophantine case.
MSC Codes : 30F10 - Compact Riemann surfaces and uniformization [See also 14H15, 32G15]
30F60 - Teichmüller theory
32G15 - Moduli of Riemann surfaces, Teichmüller theory
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
37D50 - Hyperbolic systems with singularities (billiards, etc.)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 20/07/15 Conference Date : 07/07/15 Subseries : Research talks arXiv category : Dynamical Systems ; Algebraic Geometry Mathematical Area(s) : Dynamical Systems & ODE ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 01:03:12 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-07-07_Forni.mp4 
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Information on the Event
Event Title : Dynamics and geometry in the Teichmüller space / Dynamique et géométrie dans l'espace de TeichmüllerEvent Organizers : Hubert, Pascal ; Lanneau, Erwan ; Zorich, Anton Dates : 06/07/2015 - 10/07/15 Event Year : 2015 Event URL : http://conferences.cirm-math.fr/1115.html
Citation Data
DOI : 10.24350/CIRM.V.18791803Cite this video as: Forni, Giovanni (2015). On the ergodicity of billiards in non-rational polygons. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18791803 URI : http://dx.doi.org/10.24350/CIRM.V.18791803 |
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