Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1d-center bundle

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We prove that stable ergodicity is C r open and dense among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, for all r in [2,infty]. The proof follows Pugh-Shub program: among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, accessibility is C r open and dense, and essential accessibility implies ergodicity.
22 pages, 9 figures

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Dynamical Systems, Primary 37D30; Secondary 37A25

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http://salesiana.dossiersoluciones.com/handle/123456789/120386

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610864
 http://arxiv.org/abs/math/0610864

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arXiv