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arXiv:1701.08743 [math.DS]AbstractReferencesReviewsResources

Decay of correlations, quantitative recurrence and logarithm law for Rovella attractors

Stefano Galatolo, Isaia Nisoli, Maria José Pacifico

Published 2017-01-30Version 1

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 (or Rovella) attractor at all the points having a well defined local dimension, and a quantitative recurrence estimation.

Comments: 23 pages, 3 figures
Categories: math.DS
Subjects: 37C10, 37C45, 37C40, 37D25
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