American Institute of Mathematical Sciences

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

On the work and vision of Dmitry Dolgopyat

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. 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: 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
[1]

The Editors. The 2018 Michael Brin Prize in Dynamical Systems. Journal of Modern Dynamics, 2019, 15: 425-426. doi: 10.3934/jmd.2019025
[2]

The Editors. The 2015 Michael Brin Prize in Dynamical Systems. Journal of Modern Dynamics, 2016, 10: 173-174. doi: 10.3934/jmd.2016.10.173
[3]

The Editors. The 2017 Michael Brin Prize in Dynamical Systems. Journal of Modern Dynamics, 2019, 15: 131-132. doi: 10.3934/jmd.2019015
[4]

The Editors. The 2013 Michael Brin Prize in Dynamical Systems. Journal of Modern Dynamics, 2014, 8 (1) : i-ii. doi: 10.3934/jmd.2014.8.1i
[5]

The Editors. The 2009 Michael Brin Prize in Dynamical Systems. Journal of Modern Dynamics, 2010, 4 (2) : i-ii. doi: 10.3934/jmd.2010.4.2i
[6]

The Editors. The 2011 Michael Brin Prize in Dynamical Systems. Journal of Modern Dynamics, 2012, 6 (2) : i-ii. doi: 10.3934/jmd.2012.6.2i
[7]

The Editors. The 2008 Michael Brin Prize in Dynamical Systems. Journal of Modern Dynamics, 2008, 2 (3) : i-ii. doi: 10.3934/jmd.2008.2.3i
[8]

Mikhail Lyubich. Forty years of unimodal dynamics: On the occasion of Artur Avila winning the Brin Prize. Journal of Modern Dynamics, 2012, 6 (2) : 183-203. doi: 10.3934/jmd.2012.6.183
[9]

Giovanni Forni. On the Brin Prize work of Artur Avila in Teichmüller dynamics and interval-exchange transformations. Journal of Modern Dynamics, 2012, 6 (2) : 139-182. doi: 10.3934/jmd.2012.6.139
[10]

Yakov Pesin. On the work of Dolgopyat on partial and nonuniform hyperbolicity. Journal of Modern Dynamics, 2010, 4 (2) : 227-241. doi: 10.3934/jmd.2010.4.227
[11]

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
[12]

Richard Tapia. My reflections on the Blackwell-Tapia prize. Mathematical Biosciences & Engineering, 2013, 10 (5&6) : 1669-1672. doi: 10.3934/mbe.2013.10.1669
[13]

Tao Zhang, W. Art Chaovalitwongse, Yue-Jie Zhang, P. M. Pardalos. The hot-rolling batch scheduling method based on the prize collecting vehicle routing problem. Journal of Industrial & Management Optimization, 2009, 5 (4) : 749-765. doi: 10.3934/jimo.2009.5.749

2019 Impact Factor: 0.465

Tools

Metrics

  • PDF downloads (33)
  • HTML views (0)
  • Cited by (1)

Other articles
by authors

[Back to Top]

Copyright © 2020 American Institute of Mathematical Sciences