Quantitative recurrence for the Lorentz process
- Friday 4 May 2012, 16:00 to 17:00
- Open to:
- Students, Staff
- Françoise Pène (University of Western Brittany (UBO))
Abstract: We consider the Lorentz process in the plane with periodic configuration of convex obstacles and with finite horizon. We define T(r) as the first return time of the flow to the r-neighbourhood of the initial position. We are interested in the behaviour of T(r) as r goes to zero. This is a joint work with Benoit Saussol.