Decay of correlations, quantitative recurrence and logarithm law for contracting Lorenz attractors
arXiv:1701.08743 · doi:10.1007/s10955-018-1972-6
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.
arXiv comment23 pages, 3 figures
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