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Limit Theorems for Partially Hyperbolic Systems

Dmitry Dolgopyat
Transactions of the American Mathematical Society
Vol. 356, No. 4 (Apr., 2004), pp. 1637-1689
Stable URL: http://www.jstor.org/stable/3845016
Page Count: 53
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Limit Theorems for Partially Hyperbolic Systems
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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.

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