For more information about this meeting, contact Svetlana Katok, Anatole Katok.
|Title:||Decay of correlations for Lorentz gases|
|Seminar:||Center for Dynamics and Geometry Seminar|
|Speaker:||Ian Melbourne, Surrey|
|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
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
|Date:||03 / 31 / 2008|
|Time:||03:35pm - 05:35pm|