%0 Journal Article
%T A note on statistical properties for nonuniformly hyperbolic systems with slow contraction and expansion
%A Ian Melbourne
%A Paulo Varandas
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1411.7854v2