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arXiv · 1701.08743

Decay of correlations, quantitative recurrence and logarithm law for contracting Lorenz attractors

Stefano Galatolo·Isaia Nisoli·Maria José Pacifico
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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.

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Stefano Galatolo, Isaia Nisoli, Maria José Pacifico. 2017-10-03. Decay of correlations, quantitative recurrence and logarithm law for contracting Lorenz attractors. https://doi.org/10.1007/s10955-018-1972-6

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