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April  2010, 4(2): 243-255. doi: 10.3934/jmd.2010.4.243

The work of Dmitry Dolgopyat on physical models with moving particles

Nikolai Chernov 1,

1. 

Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294, United States

Received  February 2010 Revised  May 2010 Published  August 2010

D. Dolgopyat is the winner of the second Brin Prize in Dynamical Systems (2009). This article overviews his remarkable achievements in a nontechnical manner. It complements two other surveys of Dolgopyat's work written by Y. Pesin and C. Liverani and published in this issue. This survey covers Dolgopyat's work on various physical models, including the Lorentz gas, Galton board, and some systems of hard disks.
Keywords: Galton board, hard disks., Brin prize, Lorentz gas, Dolgopyat.
Mathematics Subject Classification: Primary: 37D50; Secondary: 82C7.
Citation: Nikolai Chernov. The work of Dmitry Dolgopyat on physical models with moving particles. Journal of Modern Dynamics, 2010, 4 (2) : 243-255. doi: 10.3934/jmd.2010.4.243
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