Français
Interval exchange transformations from tiling billiards
Multi angle
Authors : Davis, Diana (Author of the conference)
CIRM (Publisher )
37B50 - Multi-dimensional shifts of finite type, tiling dynamics
37D50 - Hyperbolic systems with singularities (billiards, etc.)
CIRM (Publisher )
Loading the player...
|
Abstract :
Tiling billiards is a dynamical system where beams of light refract through planar tilings. It turns out that, for a regular tiling of the plane by congruent triangles, the light trajectories can be described by interval exchange transformations. I will explain this surprising correspondence, give related results, and show computer simulations of the system.
MSC Codes : 37B50 - Multi-dimensional shifts of finite type, tiling dynamics
37D50 - Hyperbolic systems with singularities (billiards, etc.)
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 28/02/2017 Conference Date : 14/02/2017 Subseries : Research talks arXiv category : Dynamical Systems Mathematical Area(s) : Dynamical Systems & ODE Format : MP4 (.mp4) - HD Video Time : 00:55:12 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-02-15_Davis.mp4 
|
Information on the Event
Event Title : Espace de Teichmüller. Billards polygonaux, échanges d'intervalles / Teichmüller Space, Polygonal Billiard, Interval ExchangesEvent Organizers : Chaika, Jon ; Hubert, Pascal ; Lanneau, Erwan ; Skripchenko, Alexandra ; Zorich, Anton Dates : 13/02/2017 - 17/02/2017 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1713.html
Citation Data
DOI : 10.24350/CIRM.V.19120503Cite this video as: Davis, Diana (2017). Interval exchange transformations from tiling billiards. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19120503 URI : http://dx.doi.org/10.24350/CIRM.V.19120503 |
See Also
- [Multi angle] Simplicity of the Lyapunov spectrum revisited / Author of the conference Hamenstädt, Ursula.
- [Multi angle] Limits of geodesic push-forwards of horocycle measures / Author of the conference Forni, Giovanni.
- [Multi angle] Unique ergodicity of geodesic flow in an infinite translation surface / Author of the conference Rafi, Kasra.
- [Post-edited] Totally geodesic submanifolds of Teichmüller space and moduli space / Author of the conference Wright, Alexander.
Bibliography
