Journal of Modern Dynamics (JMD)

On the Brin Prize work of Artur Avila in Teichm├╝ller dynamics and interval-exchange transformations

Pages: 139 - 182, Issue 2, April 2012      doi:10.3934/jmd.2012.6.139

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Giovanni Forni - Department of Mathematics, University of Maryland, College Park, MD 20742-4015, United States (email)

Abstract: We review the Brin prize work of Artur Avila on Teichm├╝ller dynamics and Interval Exchange Transformations. The paper is a nontechnical self-contained summary that intends to shed some light on Avila's early approach to the subject and on the significance of his achievements.

Keywords:  Brin prize, Avila.
Mathematics Subject Classification:  Primary: 37-02, 37D25, 37A25, 37E05, 37E20, 37E35; Secondary: 32G15, 30F60.

Available Online: August 2012.