Limit theorems for partially hyperbolic systems

Dolgopyat, Dmitry

doi:10.1090/S0002-9947-03-03335-X

Limit theorems for partially hyperbolic systems
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Trans. Amer. Math. Soc. 356 (2004), 1637-1689

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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