Billiard flow in nibbled ellipses

Lundi 6 janvier 2020, 11:00 à 12:00

Salle de séminaire M.0.1.

Krzysztof Frączek

(Nicolaus Copernicus University, Toruń, Pologne)

I plan to present some basic properties of the billiard flow on nibbled ellipses. The boundary of a
nibbled ellipse consists of a chain of elliptic and hyperbolic arcs, all coming from confocal conics. The
main aim of the talk is to present some steps and tools in the proof of equidistribution of billiard orbits
for almost all invariant sets determined by caustics of the billiard.