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