Tiling billiards and interval exchange transformations – Diana Davis

Diana Davis
Swarthmore College

Date(s) : 06/07/2018   iCal
11 h 00 min - 12 h 00 min

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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