Mathematics – Dynamical Systems
Scientific paper
2008-12-08
Annales Scientifiques de l'Ecole Normale Superieure, 42, n. 6 (2009), 931-979
Mathematics
Dynamical Systems
Final version. To appear in Annales Scientifiques de l'Ecole Normale Superieure
Scientific paper
We introduce the notion of nonuniform center bunching for partially hyperbolic diffeomorphims, and extend previous results by Burns--Wilkinson and Avila--Santamaria--Viana. Combining this new technique with other constructions, we prove that $C^1$-generic partially hyperbolic symplectomorphisms are ergodic. We also construct new examples of stably ergodic partially hyperbolic diffeomorphisms.
Avila Artur
Bochi Jairo
Wilkinson Amie
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