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D. Davis - Periodic paths on the pentagon : Summer School 2018 - Teichmüller dynamics, mapping class groups and applications

Authors
  • Davis, Diana
  • Bastien, Fanny
Publication Date
Jun 29, 2018
Source
HAL-INRIA
Keywords
Language
English
License
Unknown
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Abstract

Mathematicians have long understood periodic trajectories on the square billiard table. In the present work, we describe periodic trajectories on the regular pentagon – their geometry, symbolic dynamics, and group structure. Some of the periodic trajectories exhibit a surprising "dense but not equidistributed" behavior. I will show pictures of periodic trajectories, which are very beautiful. This is joint work with Samuel Lelièvre and Barak Weiss.

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