Journal
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 356, Issue 4, Pages 1637-1689Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-03-03335-X
Keywords
partial hyperbolicity; central limit theorem; Gibbs measure; absolute continuity
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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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