On the Brin Prize work of Artur Avila in Teichmüller dynamics and interval-exchange transformations

DOI10.3934/jmd.2012.6.139zbMath1272.37002OpenAlexW2059639219WikidataQ56602638 ScholiaQ56602638MaRDI QIDQ456679

Giovanni Forni

Publication date: 16 October 2012

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jmd.2012.6.139

zbMATH Keywords

Brin PrizeTeichmüller dynamicsArtur Avilainterval exchange map

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Flows on surfaces (37E35) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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Three problems solved by Sébastien Gouëzel ⋮ Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards

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