Seminars & Colloquia Calendar

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Topology/Geometry Seminar

Tiling billiards and interval exchange transformations 

Diana Davis (Swarthmore College)

Location:  Hill 005
Date & time: Tuesday, 05 March 2019 at 3:30PM - 4:30PM

Abstract: Tiling billiards is a new dynamical system where a beam of light refracts through a planar tiling. 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, and will also discuss the behavior of the system for other interesting tilings.

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