Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1d-center bundle
Dynamical Systems
2007-05-23 v3
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 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.
Cite
@article{arxiv.math/0610864,
title = {Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1d-center bundle},
author = {F. Rodriguez-Hertz and M. Rodriguez-Hertz and R. Ures},
journal= {arXiv preprint arXiv:math/0610864},
year = {2007}
}
Comments
22 pages, 9 figures