Abstract:
We establish stable ergodicity of diffeomorphisms with partially hyperbolic attractors whose Lyapunov exponents along the central direction are all negative with respect to invariant SRB-measures.
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Authors' addresses: Keith Burns Department of Mathematics Northwestern University Evanston, IL 60208-2730 Dmitry Dolgopyat Department of Mathematics Pennsylvania State University University Park, PA 16802 Yakov Pesin Department of Mathematics Pennsylvania State University University Park, PA 16802 Mark Pollicott Mathematics Institute University of Warwick Coventry CV4 7AL UK