PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Svetlana Katok, Anatole Katok.

Title:Decay of correlations for Lorentz gases
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Ian Melbourne, Surrey
Abstract:
The planar periodic Lorentz gas is a deterministic model for stochasticity. In particular, it is known that the motion of almost every gas molecule is asymptotically like a sample path for planar Brownian motion. Less well-understood is the decay of correlation (loss of memory/gain of statistical independence) for such systems. In this talk, I will describe recent, and in some cases on-going, results on decay of correlations for various continuous time Lorentz gas models, including (in)finite horizon Lorentz gases, Bunimovich stadia, and cuspoidal domains. In particular, a recent result proves that the classical infinite horizon Lorentz gas with a doubly periodic array of circular scatterers has decay of correlation rate 1/t as anticipated by physicists.

Room Reservation Information

Room Number:MB106
Date:03 / 31 / 2008
Time:03:35pm - 05:35pm