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January  2008, 2(1): 63-81. doi: 10.3934/jmd.2008.2.63

Stable ergodicity for partially hyperbolic attractors with negative central exponents

Keith Burns 1, , Dmitry Dolgopyat 2, , Yakov Pesin 3, and  Mark Pollicott 4,

1. 

Department of Mathematics, Northwestern University, Evanston, IL 60208-2730, United States
2. 

Department of Mathematics University of Maryland, College Park MD 21742
3. 

Department of Mathematics, McAllister Building, Pennsylvania State University, University Park, PA 16802, United States
4. 

Department of Mathematics, Warwick University, Coventry CV4 7AL

Received  May 2007 Revised  September 2007 Published  October 2007

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.
Keywords: Partial hyperbolicity, stable ergodicity, accessibility, Lyapunov exponents, SRB-measures..
Mathematics Subject Classification: Primary: 58F0.
Citation: Keith Burns, Dmitry Dolgopyat, Yakov Pesin, Mark Pollicott. Stable ergodicity for partially hyperbolic attractors with negative central exponents. Journal of Modern Dynamics, 2008, 2 (1) : 63-81. doi: 10.3934/jmd.2008.2.63
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