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.References
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Additional Information
- Dmitry Dolgopyat
- Affiliation: Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742
- MR Author ID: 357840
- Email: dmitry@math.umd.edu
- Received by editor(s): April 17, 2002
- Received by editor(s) in revised form: March 19, 2003
- Published electronically: September 22, 2003
- Additional Notes: This work was partly supported by an Elisabeth Proctor Fellowship at Princeton, a Miller Fellowship at Berkeley, and a Sloan Fellowship at PennState
- © Copyright 2003 by the author
- Journal: Trans. Amer. Math. Soc. 356 (2004), 1637-1689
- MSC (2000): Primary 37D30; Secondary 60Fxx
- DOI: https://doi.org/10.1090/S0002-9947-03-03335-X
- MathSciNet review: 2034323