56:07
published on February 28, 2026
Effective convergence of ergodic averages and cusp excursions of geodesics on moduli spaces
By Vaibhav Gadre
Periodic paths on the pentagon
By Diana Davis
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.
