Journal of Modern Dynamics (JMD)

On the work and vision of Dmitry Dolgopyat

Pages: 211 - 225, Issue 2, April 2010      doi:10.3934/jmd.2010.4.211

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Carlangelo Liverani - Dipartimento di Matematica, II Università di Roma (Tor Vergata), Via della Ricerca Scientifica, 00133 Roma, Italy (email)

Abstract: We present some of the results and techniques due to Dolgopyat. The presentation avoids technicalities as much as possible while trying to focus on the basic ideas. We also try to present Dolgopyat's work in the context of a research program aimed at enlightening the relations between dynamical systems and nonequilibrium statistical mechanics.

Keywords:  Brin prize, Dolgopyat.
Mathematics Subject Classification:  Primary: 37D50; Secondary: 82C70.

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