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Семинар «Оптимальное управление и динамические системы»
30 мая 2012 г. 12:00, г. Москва, МИАН, комн. 430 (ул. Губкина, 8)


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

Mostapha Benhenda

Аннотация: 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 $R_\beta$.


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