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

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dc.creatorRodriguez-Hertz, F.
dc.creatorRodriguez-Hertz, M.
dc.creatorUres, R.
dc.date2006-10-30
dc.date2006-12-20
dc.date.accessioned2026-07-07T07:36:19Z
dc.date.available2026-07-07T07:36:19Z
dc.descriptionWe 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.
dc.description22 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/math/0610864
dc.identifierhttp://arxiv.org/abs/math/0610864
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120386
dc.subjectDynamical Systems
dc.subjectPrimary 37D30; Secondary 37A25
dc.titleAccessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1d-center bundle
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