On the brin prize work of artur avila in teichmüller dynamics and interval-exchange transformations

Abstract

We review the Brin prize work of Artur Avila on Teichmüller 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. ©2012 AIMSciences.