Interval exchange transformations from tiling billiards | Vidéo | Carmin.tv

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Interval exchange transformations from tiling billiards

Appears in collection : Espace de Teichmüller. Billards polygonaux, échanges d'intervalles / Teichmüller Space, Polygonal Billiard, Interval Exchanges

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.

Information about the video

Date of recording 14/02/2017
Date of publication 28/02/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19120503
Cite this video Davis, Diana (14/02/2017). Interval exchange transformations from tiling billiards. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19120503
URL https://dx.doi.org/10.24350/CIRM.V.19120503

Domain(s)

Dynamical Systems

MSC codes

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