GdTProbaTESD20200106

Billiard flow in nibbled ellipses

Monday 6 January 2020, 11:00 à 12:00

Salle de séminaire M.0.1.

Groupe de travail en Probabilités, Théorie Ergodique et Systèmes Dynamiques
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.

Exposé