A note on statistical properties for nonuniformly hyperbolic systems with slow contraction and expansion
Dynamical Systems
2016-03-11 v3
Abstract
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.
Cite
@article{arxiv.1411.7854,
title = {A note on statistical properties for nonuniformly hyperbolic systems with slow contraction and expansion},
author = {Ian Melbourne and Paulo Varandas},
journal= {arXiv preprint arXiv:1411.7854},
year = {2016}
}
Comments
Final version