Limit theorems for partially hyperbolic systems

Dmitry Dolgopyat
2003 Transactions of the American Mathematical Society  
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.
doi:10.1090/s0002-9947-03-03335-x fatcat:vmg35oggjzbvldxyehy5q2iyre