arXiv:1411.7854 Abstract | arXiv Analytics

arXiv:1411.7854 [math.DS]Abstract References Reviews Resources

A note on statistical properties for nonuniformly hyperbolic systems with slow contraction and expansion

Published 2014-11-28Version 1

We provide a systematic approach for deducing statistical limit laws via martingale-coboundary decomposition, for nonuniformly hyperbolic systems with slowly contracting and expanding directions. In particular, if the associated return time function is square-integrable, then we obtain the central limit theorem, the weak invariance principle, and an iterated version of the weak invariance principle.

Categories: math.DS

Subjects: 37D25, 37D50, 37A50, 60F17

Keywords: nonuniformly hyperbolic systems, slow contraction, statistical properties, weak invariance principle, central limit theorem

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