Abundance of stable ergodicity
نویسندگان
چکیده
We consider the set PHω(M) of volume preserving partially hyperbolic diffeomorphisms on a compact manifold having 1-dimensional center bundle. We show that the volume measure is ergodic, and even Bernoulli, for any C2 diffeomorphism in an open and dense subset of PHω(M). This solves a conjecture of Pugh and Shub, in this setting. Mathematics Subject Classification (2000). 37D30.
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