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Ergodic Theory / Probability Seminar - Diana Davis

Diana Davis
April 18, 2019
3:00PM - 4:00PM
Math Tower 154

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Add to Calendar 2019-04-18 15:00:00 2019-04-18 16:00:00 Ergodic Theory / Probability Seminar - Diana Davis Title: Tiling billiards and interval exchange transformations Speaker: Diana Davis (Swarthmore College) 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. Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Tiling billiards and interval exchange transformations

SpeakerDiana Davis (Swarthmore College)

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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