Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle |
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| Authors: | F Rodriguez Hertz MA Rodriguez Hertz R Ures |
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| Institution: | (1) IMERL-Facultad de Ingeniería, Universidad de la República, CC 30 Montevideo, Uruguay |
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| Abstract: | We prove that stable ergodicity is C
r
open and dense among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, for all r∈2,∞].
The proof follows the Pugh–Shub program 29]: among conservative partially hyperbolic diffeomorphisms with one-dimensional
center bundle, accessibility is C
r
open and dense, and essential accessibility implies ergodicity.
Mathematics Subject Classification (2000) Primary: 37D30, Secondary: 37A25 |
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| Keywords: | |
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