Multi angle Interval exchange transformations from tiling billiards
Auteurs : Davis, Diana (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : 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.Codes MSC :
37B50 - Multi-dimensional shifts of finite type, tiling dynamics
37D50 - Hyperbolic systems with singularities (billiards, etc.)