Journal of Modern Dynamics (JMD)

The work of Dmitry Dolgopyat on physical models with moving particles

Pages: 243 - 255, Issue 2, April 2010      doi:10.3934/jmd.2010.4.243

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Nikolai Chernov - Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294, United States (email)

Abstract: 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:  Brin prize, Dolgopyat, Lorentz gas, Galton board, hard disks.
Mathematics Subject Classification:  Primary: 37D50; Secondary: 82C70.

Received: February 2010;      Revised: May 2010;      Available Online: August 2010.