Decay of correlations, quantitative recurrence and logarithm law for contracting Lorenz attractors
Dynamical Systems
2018-03-14 v2
Abstract
In this paper we prove that a class of skew products maps with non uniformly hyperbolic base has exponential decay of correlations. We apply this to obtain a logarithm law for the hitting time associated to a contracting Lorenz attractor at all the points having a well defined local dimension, and a quantitative recurrence estimation.
Keywords
Cite
@article{arxiv.1701.08743,
title = {Decay of correlations, quantitative recurrence and logarithm law for contracting Lorenz attractors},
author = {Stefano Galatolo and Isaia Nisoli and Maria José Pacifico},
journal= {arXiv preprint arXiv:1701.08743},
year = {2018}
}
Comments
23 pages, 3 figures