Michael Brin Prize in Dynamical Systems

Mathematical award

The Michael Brin Prize in Dynamical Systems, abbreviated as the Brin Prize, is awarded to mathematicians who have made outstanding advances in the field of dynamical systems and are within 14 years of their PhD.[1] The prize is endowed by and named after Michael Brin,[1] whose son Sergey Brin[2] is a co-founder of Google. Michael Brin is a retired mathematician at the University of Maryland and a specialist in dynamical systems.[3]

The first prize was awarded in 2008, between 2009 and 2017 it has been awarded bi-annually, and since 2017 annually. Artur Avila, the 2011 awardee, went on to win the Fields Medal in 2014.[4]

From 2016, the Brin prize for young mathematicians is awarded as well, which is given to mathematicians within 4 years of their PhD.

## Past winners

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* 2008 : Giovanni Forni for his work on area-preserving flows.[5][6][7]
* 2009 : Dmitry Dolgopyat for his work on rapid mixing of flows.[8][9][10][11]
* 2011 : Artur Avila for his work on Teichmüller dynamics and interval-exchange transformations.[12][13][14]
* 2013 : Omri Sarig for his work on the thermodynamics of countable Markov shifts and his Markov partition for surface diffeomorphisms.[15][16][17]
* 2015 : Federico Rodriguez Hertz for his work on geometric and measure rigidity and on stable ergodicity of partially hyperbolic systems.[18][19][20]
* 2017 : Lewis Bowen for creation of entropy theory for a broad class of non-amenable groups and solution of the long-standing isomorphism problem for Bernoulli actions of such groups.
* 2018 : Mike Hochman for his work in ergodic theory and fractal geometry.
* 2019 : Sébastien Gouëzel for his work on the spectral theory of transfer operators and statistical properties of hyperbolic dynamical systems and random walks on hyperbolic groups.
* 2020 : Corinna Ulcigrai for her work on the ergodic theory of locally Hamiltonian flows on surfaces and translation flows on periodic surfaces.
* 2021 : Tim Austin for his proof the weak Pinsker conjecture, for his groundbreaking approach to non-conventional multiple ergodic theorems, and his contributions to geometric group theory.
* 2022 : Zhiren Wang for his fundamental contributions to the study of topological and measure rigidity of higher rank actions, and his proof of Moebius disjointness for several classes of dynamical systems.
* 2023 : Jacopo De Simoi for his fundamental contributions to the study of Fermi acceleration, of marked length spectrum rigidity for integrable and dispersing billiards, and entropy rigidity for conservative Anosov flows in dimension 3.
* 2024 : Amir Mohammadi for his fundamental contributions to effective counting and equidistribution in Teichmüller and homogeneous dynamics.

## Past winners of the Brin prize for young mathematicians

[edit]

* 2016 : Simion Filip
* 2018 : Alex Wright and Brendon Seward
* 2020 : Joel Moriera
* 2022 : Thibault Lefeuvre and Nicole Looper
* 2024 : Francisco Arana-Herrera and Rohil Prasad

## See also

[edit]

* List of mathematics awards

## References

[edit]

1. ^ a b "Michael Brin Prize in Dynamical Systems", Center for Dynamical Systems and Geometry, Pennsylvania State University Mathematics Department, retrieved 2015-08-25.
2. ^ Sergey Brin Fast Facts, CNN, August 11, 2015, retrieved 2015-08-24.
3. ^ Author biography from publisher's web site for Brin, Michael; Stuck, Garrett (2015), Introduction to Dynamical Systems, Cambridge University Press.
4. ^ Bellos, Alex (August 13, 2014), "Fields Medals 2014: the maths of Avila, Bhargava, Hairer and Mirzakhani explained", The Guardian, "Among his [Avila's] previous honors are ... the Michael Brin Prize (2011)".
5. ^ "Giovanni Forni—Brin Prize recipient 2008", Journal of Modern Dynamics, 2 (3): ii, 2008, MR 2453628.
6. ^ Veech, William A. (2008), "The Forni Cocycle", Journal of Modern Dynamics, 2 (3): 375–395, doi:10.3934/jmd.2008.2.375, MR 2417477.
7. ^ Katok, Anatole (June–July 2008), "Forni Awarded First Brin Prize in Dynamical Systems" (PDF), Mathematics People, Notices of the AMS, 55 (6): 715–716.
8. ^ "The 2009 Michael Brin Prize in dynamical systems", Journal of Modern Dynamics, 4 (2): i–ii, 2010, MR 2672293
9. ^ 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.
10. ^ 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.
11. ^ 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.
12. ^ "The 2011 Michael Brin Prize in dynamical systems", Journal of Modern Dynamics, 6 (2): i–ii, 2012, MR 2968952.
13. ^ 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.
14. ^ 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.
15. ^ "The 2013 Michael Brin prize in dynamical systems", Journal of Modern Dynamics, 8 (1): i–ii, 2014, MR 3296938.
16. ^ Pesin, Yakov (2014), "On the work of Sarig on countable Markov Chains and Thermodynamics", Journal of Modern Dynamics, 8 (1): 1–14, arXiv:1301.3917, doi:10.3934/jmd.2014.8.1, MR 3296563, S2CID 89610028.
17. ^ 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.
18. ^ "The 2015 Michael Brin prize in dynamical systems", Journal of Modern Dynamics, 10 (2): 173–174, 2016, doi:10.3934/jmd.2016.10.173, MR 3510293.
19. ^ Dolgopyat, Dmitry (2016), "The work of Federico Rodriguez Hertz on ergodicity of dynamical systems", Journal of Modern Dynamics, 10 (2): 175–189, doi:10.3934/jmd.2016.10.175, MR 3510294.
20. ^ Spatzier, Ralf (2016), "On the work of Rodriguez Hertz on rigidity in dynamics", Journal of Modern Dynamics, 10 (2): 191–207, arXiv:1606.00527, doi:10.3934/jmd.2016.10.191, MR 3510295, S2CID 119121849.