Séminaire - Avril
Le séminaire aura lieu un mercredi par mois de 14h à 15h à l'Institut Henri Poincaré à Paris. Pour télécharger le programme du mois: avril.pdf.
- 13/04/2016 - Angel Pardo (Aix-Marseille Université) - salle 01
Titre:
Counting problem and Siegel-Veech constants on wind-tree models
Resumé:
We study periodic wind-tree models, billiards in the plane endowed
with \(\mathbb{Z}^2\)-periodically located identical connected
symmetric right-angled
obstacles. We show asymptotic formulas for the number of (isotopy
classes of)
closed billiard trajectories (up to \(\mathbb{Z}^2\)-translations) on
the wind-tree billiard.
We also compute explicitly the associated Siegel-Veech constant for
generic
wind-tree billiards depending on the number of corners on the obstacle.