D. Davis - Periodic paths on the pentagon

Diana Davis (1) , Fanny Bastien (2)

1 Swarthmore College
2 IF - Institut Fourier

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.

Mots clés: Teichmüller dynamics mapping class groups and applications; Periodic paths; pentagon

Mots clés: eem2018; Grenoble

Domaines: Mathématiques [math]

Diana Davis, Fanny Bastien. D. Davis - Periodic paths on the pentagon: Summer School 2018 - Teichmüller dynamics, mapping class groups and applications. 2018. ⟨medihal-01836157⟩