Nonstandard Smooth Realizations of Liouville Rotations

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We augment the method of $C^\infty$ conjugation approximation with explicit estimates on the conjugacy map. This allows us to construct ergodic volume preserving diffeomorphisms measure-theoretically isomorphic to any apriori given Liouville rotation on a variety of manifolds. In the special case of tori the maps can be made uniquely ergodic.

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Dynamical Systems, 37C40

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http://salesiana.dossiersoluciones.com/handle/123456789/115401

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608322
 http://arxiv.org/abs/math/0608322

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arXiv