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Limit theorems for partially hyperbolic systems
Authors:Dmitry Dolgopyat
Institution:Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742
Abstract:We consider a large class of partially hyperbolic systems containing, among others, affine maps, frame flows on negatively curved manifolds, and mostly contracting diffeomorphisms. If the rate of mixing is sufficiently high, the system satisfies many classical limit theorems of probability theory.

Keywords:Partial hyperbolicity  central limit theorem  Gibbs measure  absolute continuity
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