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April  2010, 4(2): 211-225. doi: 10.3934/jmd.2010.4.211

On the work and vision of Dmitry Dolgopyat (Brin Prize article)

Carlangelo Liverani 1,

1. 

Dipartimento di Matematica, II Università di Roma (Tor Vergata), Via della Ricerca Scientifica, 00133 Roma

Received  February 2010 Revised  May 2010 Published  August 2010

We present some of the results and techniques due to Dolgopyat. Thepresentation avoids technicalities as much as possible while trying to focus onthe basic ideas. We also try to present Dolgopyat's work in the context of aresearch program aimed at enlightening the relations between dynamical systemsand nonequilibrium statistical mechanics.
Keywords: Brin prize, Dolgopyat..
Mathematics Subject Classification: Primary: 37D50; Secondary: 82C7.
Citation: Carlangelo Liverani. On the work and vision of Dmitry Dolgopyat. Journal of Modern Dynamics, 2010, 4 (2) : 211-225. doi: 10.3934/jmd.2010.4.211
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