Université Paris-Est Université Paris-Est - Marne-la-Vallée Université Paris-Est - Créteil Val-de-Marne Centre National de la Recherche Scientifique

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.