On the work and vision of Dmitry Dolgopyat

Carlangelo Liverani

doi:10.3934/jmd.2010.4.211

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2010, Volume 4, Issue 2: 211-225. Doi: 10.3934/jmd.2010.4.211 open access

This issue Previous Article The 2009 Michael Brin Prize in Dynamical Systems Next Article On the work of Dolgopyat on partial and nonuniform hyperbolicity

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: July 2010

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Abstract

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: 82C70.

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