F. Rodriguez-Hertz, M. Rodriguez-Hertz, R. Ures
Published 2006-10-30, updated 2006-12-20Version 3
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.
Comments: 22 pages, 9 figures
Stable ergodicity of dominated systems
$C^r$-Closing lemma for partially hyperbolic diffeomorphisms with one-dimensional center bundle
On the Stable Ergodicity of Berger-Carrasco's example
![QR code for arXiv:math/0610864 [math.DS]](http://oss.arxitics.com/images/favicon.svg)