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The ''Michael Brin Prize in Dynamical systems''<ref>https://advancement.umd.edu/celebration/showScholarship.php?main_id=501</ref> is awarded for outstanding achievements in the mathematical theory of [[dynamical systems]]. The prize was endowed by Michael Brin, a distinguished researcher in dynamical systems and currently Professor Emeritus of University of Maryland. The first prize was awarded in 2008, and since then it has been awarded bi-annually.
The ''Michael Brin Prize in Dynamical systems'', sometimes also known as the ''Brin Prize''<ref>http://www.ams.org/notices/200806/tx080600715p.pdf</ref>, is awarded to mathematicians who have made outstanding advances in the field of [[dynamical systems]]. The requirements stipulate that the
the PhD graduation date of the awardee should not be more than 14 years <ref>http://www.personal.psu.edu/axk29/BrinPrize-modified.pdf</ref>. The first prize was awarded in 2008, and since 2009, it has been awarded bi-annually. In recent years, the prize committees has included [[Jean Bourgain]], [[Anatole Katok]], [[Marina Ratner]], [[Marcelo Viana]], and [[Benjamin Weiss]]. <ref>http://www.personal.psu.edu/axk29/BrinPrize-modified.pdf</ref><ref>http://www.personal.psu.edu/axk29/BrinPrize-13-guidelines.pdf</ref>
The prize is awarded by an international committee of distinguished specialists in dynamical systems and related areas. For the Prize Guidelines and the current composition of the Prize Committee see.<ref>http://www.personal.psu.edu/axk29/BrinPrize-13-guidelines.pdf</ref>

The prize is endowed by and named after [[Michael Brin]], a retired<ref>http://www.math.umd.edu/~mib/</ref> mathematician at the [[University of Maryland]], and a specialist in [[dynamical systems]].<ref>https://advancement.umd.edu/celebration/showScholarship.php?main_id=501</ref> He is also known as the father of [[Sergey Brin]]. <ref>http://www.cnn.com/2014/07/03/us/sergey-brin-fast-facts/</ref>



==Past winners==
==Past winners==

Revision as of 05:48, 25 August 2015

The Michael Brin Prize in Dynamical systems, sometimes also known as the Brin Prize[1], is awarded to mathematicians who have made outstanding advances in the field of dynamical systems. The requirements stipulate that the the PhD graduation date of the awardee should not be more than 14 years [2]. The first prize was awarded in 2008, and since 2009, it has been awarded bi-annually. In recent years, the prize committees has included Jean Bourgain, Anatole Katok, Marina Ratner, Marcelo Viana, and Benjamin Weiss. [3][4]

The prize is endowed by and named after Michael Brin, a retired[5] mathematician at the University of Maryland, and a specialist in dynamical systems.[6] He is also known as the father of Sergey Brin. [7]


Past winners

References

  1. ^ http://www.ams.org/notices/200806/tx080600715p.pdf
  2. ^ http://www.personal.psu.edu/axk29/BrinPrize-modified.pdf
  3. ^ http://www.personal.psu.edu/axk29/BrinPrize-modified.pdf
  4. ^ http://www.personal.psu.edu/axk29/BrinPrize-13-guidelines.pdf
  5. ^ http://www.math.umd.edu/~mib/
  6. ^ https://advancement.umd.edu/celebration/showScholarship.php?main_id=501
  7. ^ http://www.cnn.com/2014/07/03/us/sergey-brin-fast-facts/
  8. ^ "Giovanni Forni—Brin Prize recipient 2008", Journal of Modern Dynamics, 2 (3): ii, 2008, MR 2453628.
  9. ^ Veech, William A. (2008), "The Forni Cocycle", Journal of Modern Dynamics, 2 (3): 375–395, doi:10.3934/jmd.2008.2.375, MR 2417477.
  10. ^ Katok, Anatole (June–July 2008), "Forni Awarded First Brin Prize in Dynamical Systems" (PDF), Mathematics People, Notices of the AMS, 55 (6): 715–716.
  11. ^ Forni, Giovanni (1997), "Solutions of the cohomological equation for area-preserving flows on compact surfaces of higher genus", Annals of Mathematics (2), 146 (2): 295–344, MR 1477760.
  12. ^ Forni, Giovanni (2002), "Deviation of ergodic averages for area-preserving flows on surfaces of higher genus", Annals of Mathematics (2), 155 (1): 1–103, MR 1888794.
  13. ^ "The 2009 Michael Brin Prize in dynamical systems", Journal of Modern Dynamics, 4 (2): i–ii, 2010, MR 2672293
  14. ^ Liverani, Carlangelo (2010), "On the work and vision of Dmitry Dolgopyat", Journal of Modern Dynamics, 4 (2): 211–225, doi:10.3934/jmd.2010.4.211, MR 2672294.
  15. ^ Pesin, Yakov (2010), "On the work of Dolgopyat on partial and nonuniform hyperbolicity", Journal of Modern Dynamics, 4 (2): 227–241, doi:10.3934/jmd.2010.4.211, MR 2672295.
  16. ^ Chernov, Nikolai (2010), "On the work of Dmitry Dolgopyat on physical models with moving particles", Journal of Modern Dynamics, 4 (2): 243–255, doi:10.3934/jmd.2010.4.243, MR 2672296.
  17. ^ Dolgopyat, Dmitry (1998), "On decay of correlations in Anosov flows", Annals of Mathematics (2), 147 (1): 357–390, MR 1626749.
  18. ^ Dolgopyat, Dmitry (1998), "Prevalence of rapid mixing in hyperbolic flows I", Ergod. Theory and Dyn. Syst., 18 (5): 1097–1114, MR 1653299.
  19. ^ Dolgopyat, Dmitry (2000), "Prevalence of rapid mixing II. Topological prevalence", Ergod. Theory and Dyn. Syst., 20 (4): 1045–1059, MR 1782146.
  20. ^ Dolgopyat, Dmitry (2000), "On dynamics of mostly contracting diffeomorphisms", Comm. Math. Phys., 213 (4): 181–201, MR 1782146.
  21. ^ Dolgopyat, Dmitry (2004), "On dynamics of mostly contracting diffeomorphisms", Invent. Math., 155: 389–449, MR 2031432.
  22. ^ "The 2011 Michael Brin Prize in dynamical systems", Journal of Modern Dynamics, 6 (2): i–ii, 2012, MR 2968952.
  23. ^ Forni, Giovanni (2012), "On the Brin Prize work of Artur Avila in Teichmüller dynamics and interval-exchange transformations", Journal of Modern Dynamics, 6 (2): 139–182, doi:10.3934/jmd.2012.6.139, MR 2968953.
  24. ^ Lyubich, Mikhail (2012), "Forty years of unimodal dynamics: on the occasion of Artur Avila winning the Brin Prize", Journal of Modern Dynamics, 6 (2): 183–203, doi:10.3934/jmd.2012.6.183, MR 2968954.
  25. ^ Avila, Artur; Lyubich, Mikhail; de Melo, Welington (2003), "Regular or stochastic dynamics in real analytic families of unimodal maps", Invent. Math., 154: 451–550, MR 2018784.
  26. ^ Avila, Artur; Moreira, Carlos Gustavo (2005), "Statistical properties of unimodal maps: the quadratic family", Annals Math., 161: 831–881, MR 2153401.
  27. ^ Avila, Artur; Krikorian, Raphael (2006), "Reducibility or non-uniform hyperbolicity for quasi periodic Schroedinger cocycles", Annals Math., 164: 911–940, MR 2259248.
  28. ^ Avila, Artur; Forni, Giovanni (2007), "Weak mixing for interval exchange transformations and translation flows", Annals Math., 165: 637–664, MR 2299743.
  29. ^ Avila, Artur; Viana, Marcelo (2007), "Simplicity of Lyapunov spectra: proof od the Zorich-Kontsevich conjecture", Acta Mathematica, 198: 1–56, MR 2316268.
  30. ^ "The 2013 Michael Brin prize in dynamical systems", Journal of Modern Dynamics, 8 (1): i–ii, 2014, MR 3296938.
  31. ^ Pesin, Yakov (2014), "On the work of Sarig on countable Markov Chains and Thermodynamics", Journal of Modern Dynamics, 8 (1): 1–14, doi:10.3934/jmd.2014.8.1, MR 3296563.
  32. ^ Ledrappier, Francois (2014), "On Omri Sarig's work on the dynamics on surfaces", Journal of Modern Dynamics, 8 (1): 15–24, doi:10.3934/jmd.2014.8.15, MR 3296564.
  33. ^ Sarig, Omri (1999), "Thermodynamic formalism for countable Markov shifts", Ergod. Theory and Dyn. Syst., 19: 1565–1593, MR 1738951.
  34. ^ Sarig, Omri (2001), "Phase transitions for countable Markov shifts", Comm. Math. Phys., 217: 555–577, MR 1822107.
  35. ^ Sarig, Omri (2003), "Characterization of existence of Gibbs measures for countable Markov shifts", Proc. of the AMS, 131: 1751–1758, MR 1955261.
  36. ^ Sarig, Omri (2013), "Symbolic dynamics for surface diffeomorphisms with positive entropy", Journal of the AMS, 26: 341–426, MR 3011417.
  37. ^ Sarig, Omri (2011), "Bernoulli equilibrium state for surface diffeomorphisms", J. Mod. Dyn., 5 (3): 593–608, MR 2854097.
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