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Seminar of the Department of Differential Equations, Steklov Mathematical Institute of RAS
May 30, 2012 12:00, Moscow, Steklov Mathematical Institute, Room 430 (8 Gubkina)

The Anosov-Katok method of periodic approximation and non-standard couples of angles of rotations

Mostapha Benhenda

Abstract: Anosov and Katok constructed an ergodic measure-preserving diffeomorphism of the disk that is metrically isomorphic to a rotation of the circle. We develop Anosov and Katok results and methods: we construct an ergodic measure-preserving diffeomorphism of the disk that is smoothly tangent to a rotation $S_\alpha$ on the boundary of the disk, and that is metrically isomorphic to a rotation $R_\beta$.