## Recurrence properties of the interval exchange map

Type:
Type:
Site:
Date:
15/02/2011 - 14:00
Salle:
P3 042
Orateur:
KIM Dong Han
Localisation:
Université de Dongguk
Localisation:
République de Corée
Résumé:

The Interval exchange map generalizes the irrational rotation of the circle. We discuss Diophantine type of the irrational rotation to the interval exchange map and introduce a Diophantine type for the interval exchange maps using the asymptotic rate of the return time. It is a generalization of the Roth's type condition for the irrational rotation. Also the asymptotic rate of hitting time is considered.