Diana Davis: Interval exchange transformations from tiling billiards
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.
Recording during the meeting : "Teichmüller Space, Polygonal Billiard, Interval Exchanges" the February 14, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
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