Decay of Correlations, Quantitative Recurrence and Logarithm Law for Contracting Lorenz Attractors
Journal Article
·
· Journal of Statistical Physics
- Largo Bruno Pontecorvo, Dipartimento di Matematica (Italy)
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.
- OSTI ID:
- 22783982
- Journal Information:
- Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 5 Vol. 170; ISSN JSTPBS; ISSN 0022-4715
- Country of Publication:
- United States
- Language:
- English
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