Ian Melbourne
Abstract
We obtain results on large deviations for a large class of nonuniformly hyperbolic dynamical systems with polynomial decay of correlations n-b, b>0. This includes systems modelled by Young towers with polynomial tails, extending recent work of M. Nicol and the author which assumed b>1. As a byproduct of the proof, we obtain slightly stronger results even when b>1. The results are sharp in the sense that there exist examples (such as Pomeau-Manneville intermittency maps) for which the obtained rates are best possible. In addition, we obtain results on moderate deviations.