## Michael Brin Prize in Dynamical Systems

Professor Emeritus Michael Brin of the University of Maryland has endowed an international prize for outstanding work in the theory of dynamical systems and related areas. The prize is given for specific mathematical achievements that appear as a single or a series of publications in refereed journals, proceedings or monographs.The goal of the prize is to recognize mathematicians who have made substantial impact in the field at an early stage of their careers. The recipients should be no more than fourteen years from Ph.D.

The Brin Prize has been established in 2008; it was bi-annual unitil 2017 and became annual since 2018.

The first Brin Prize was presented in April 2008 at the Maryland session of the Semi-annual workshop in Dynamical systems and Related topics, that was dedicated to Michael Brin's 60th birthday. The 2009 - 2017 prizes have been awarded in odd years and presented at the Penn State Fall sessions of the Semi-annual workshop in Dynamical systems and Related topics. Starting with 2018 the prize will be will be awarded in even years at the Maryland Spring sessions and in the odd years at the Penn State Fall sessions of the Semi-annual workshop in Dynamical systems and Related topics.

### Brin Prize Winners

**2008** Giovanni FORNI; **2009** Dmitry DOLGOPYAT; **2011** Artur AVILA ; **2013** Omri SARIG ; **2015** Federico RODRIGUEZ HERTZ; **2017** Lewis BOWEN; **2018** Michael HOCHMAN; **2019** Sébastien GOUËZEL; **2020** Corinna ULCIGRAI

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Archive of Brin Prize Winners

The ninth Brin Prize has been awarded to CORINNA ULCIGRAI for her fundamental work on the ergodic theory of locally Hamiltonian flows on surfaces, of translation flows on periodic surfaces and wind-tree models, and her seminal work on higher genus generalizations of Markov and Lagrange spectra.

The eighth Brin Prize has been awarded to SÉBASTIEN GOUËZEL *for his groundbreaking and influential work on the spectral theory of transfer operators and on statistical properties of hyperbolic dynamical systems and random walks on hyperbolic groups.*

**TALKS ABOUT GOUËZEL'S WORK AT THE BRIN PRIZE SESSION **

of the Penn State Workshop on Dynamical Systems and Related Topics, September 28, 2019

- Dmitry Dolgopyat, Work of Sébastien Gouëzel on Limit Theorems and on Banach spaces adapted to dynamical systems
- Francois Ledrappier, Sébastien Gouëzel, problems solver

**PHOTOS FROM THE 2019 BRIN PRIZE SESSION **

**The seventh Brin Prize has been awarded to MICHAEL HOCHMAN ***for his seminal and groundbreaking work on dimensions of projections of self-similar measures, and on inverse theorems for entropy of convolutions of probability measures, also in higher dimensions.*

- Prize guidelines
- Hochman's prize work

**TALKS ABOUT HOCHMAN'S WORK AT THE BRIN PRIZE SESSION **

of the University of Maryland Workshop on Dynamical Systems and Related Topics, April 8, 2018

- Mike Boyle, The work of Mike Hochman on multidimensional symbolic dynamics and Borel dynamics
- Hillel Furstenberg, Entropy and Wishful Theorems

**PHOTOS FROM THE 2018 BRIN PRIZE SESSION **

**The sixth Brin Prize has been awarded to 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,**

**TALK ABOUT BOWEN'S WORK AT THE BRIN PRIZE SESSION **

of the Penn State Workshop on Dynamical Systems and Related Topics, October 7, 2017

- Jean-Paul Thouvenot, The work of Lewis Bowen on Entropy Theory for Non-amenable Groups and Isomorphism of Bernoulli Actions. Journal of Modern Dynamics vol 15, pp 133 - 141

**PHOTOS FROM THE 2017 BRIN PRIZE SESSION **

**The fifth Brin Prize has been awarded to FEDERICO RODRIGUEZ HERTZ ****for his groundbreaking work on stable ergodicity of partially hyperbolic systems, on global smooth rigidity and on measure rigidity of smooth group actions on compact manifolds. **

**TALKS ABOUT RODRIGUEZ HERTZ'S WORK AT THE BRIN PRIZE SESSION **

of the Penn State Workshop on Dynamical Systems and Related Topics, October 24, 2015

- Dmitry Dolgopyat, The work of Federico Rodriguez Hertz on Ergodicity of Dynamical Systems; atricle in the Journal of Modern Dynamics vol 10, pp 175 - 189
- Ralf Spatzier, On Global and Measure Rigidity in the work of Federico Rodriguez Hertz; atricle in the Journal of Modern Dynamics vol 10, p 191 - 207

**PHOTOS FROM THE 2015 BRIN PRIZE SESSION **

**The fourth Brin Prize has been awarded to OMRI SARIG ****for fundamental contributions to the theory of infinite Markov chains and the solution of long-standing ****problem of constructing infinite Markov partitions for general surface diffeomorphisms with positive topological entropy**

**TALKS ABOUT SARIG'S WORK AT THE BRIN PRIZE SESSION **

of the Penn State Workshop on Dynamical Systems and Related Topics, October 19, 2013

- Yakov Pesin, On the work of Omri Sarig on infinite Markov chains and thermodynamical formalism; article in the Journal of Modern Dynamics vol. 8, N1, pp 1 - 14
- Francois Ledrappier, On the prize work of Omri Sarig on Markov partitions for surface diffeomorphisms and applications; article in the Journal of Modern Dynamics vol. 8, N1, pp 15 - 24

**PHOTOS FROM THE 2013 BRIN PRIZE SESSION **

**The third Brin Prize has been awarded to ARTUR AVILA ****for fundamental contributions to one-dimensional dynamics, spectral theory of Schoedinger operators, and dynamics of interval exchange transformations and Teichmueller flows**

**TALKS ABOUT AVILA'S WORK AT THE BRIN PRIZE SESSION **of the Penn State Workshop on Dynamical Systems and Related Topics, October 22, 2011

- Mikhail Lyubich, On the prize work of Artur Avila on one-dimensional dynamics; atricle in the Journal of Modern Dynamics vol 6, N2, pp 183 - 203
- Raphael Krikorian, On the work of Artur Avila on quasi-periodic Schroedinger operators
- Giovanni Forni, On the prize work of Artur Avila on Teichmueller dynamics and interval exchange transformations; atricle in the Journal of Modern Dynamics vol 6, N2, pp 139 - 182

**PHOTOS FROM THE 2011 BRIN PRIZE SESSION **

**The second Brin Prize has been awarded to DMITRY DOLGOPYAT ***for his fundamental contributions to the study of statistical properties of hyperbolic dynamical systems*

**TALKS ABOUT DOLGOPYAT'S WORK AT THE BRIN PRIZE SESSION**

of the Penn State Workshop on Dynamical Systems and Related Topics, October 31, 2009

- Carlangelo Liverani, On the Work and Vision of Dmitry Dolgopyat, article in the Journal of Modern Dynamics vol. 4, N2, pp 211 - 225
- Yakov Pesin, On the Work of Dolgopyat on Partial and Nonuniform Hyperbolicity, article in the Journal of Modern Dynamics vol. 4, N2, pp 227 - 241
- Nikolai Chernov, Works on physical models with moving particles, article in the Journal of Modern Dynamics vol. 4, N2, pp 243 - 255

**PHOTOS FROM THE 2009 BRIN PRIZE SESSION **

- The winner accepts the prize
- The winner with the session speakers
- The winner with the committee chair
- Liverani speaks at the prize session
- Pesin speaks at the prize session
- Chernov speaks at the prize session
- The donor listens at the prize session
- Johh Mather listens at the prize session
- A scene during the prize session

**The first Brin Prize has been awarded to GIOVANNI FORNI ****for the pioneering work on solutions of cohomological equations for flows on surfaces
and solution of Kontsevich-Zorich conjecture on deviation of ergodic averages.**

- Prize guidelines
- Forni's prize work
- Invited article by William A. Veech published in the Journal of Modern Dynamics (vol. 2, N3, pp 275 - 395) on the occasion of awarding the first Michael Brin Prize

**PHOTOS FROM THE BRIN PRIZE SESSION** at the Brin-60 conference

- The Prize Committee chair is about to announce the winner
- Giovanni Forni stands as he is announced as the first winner of the Michael Brin Prize in Dynamical Systems
- Committee chair displays a more than life size $15000 award check while Giovanni Forni examines his Prize certificate
- John Mather gives the talk on the Prize work
- Livio Flaminio speaks on joint work with Giovanni Forni
- The winner, the donor and Committee chair