A remark on conservative diffeomorphisms
arXiv:math/0408344 · doi:10.1016/j.crma.2006.03.028
Abstract
We show that a stably ergodic diffeomorphism can be approximated by a diffeomorphism having stably non-zero Lyapunov exponents.
Replaced with revised version. To appear at CRAS
References in corpus (1)
Cited by in corpus (8)
- Removing zero Lyapunov exponents in volume-preserving flows
- On the regularization of conservative maps
- (Semi)continuity of the entropy of Sinai probability measures for partially hyperbolic diffeomorphisms
- Non-Uniform hyperbolicity for infinite dimensional cocycles
- Non-uniformly hyperbolic endomorphisms
- Stable ergodicity of dominated systems
- A pasting lemma and some applications for conservative systems
- On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics