Hitting time in regular sets and logarithm law for rapidly mixing dynamical systems

DOI10.1090/S0002-9939-10-10275-5zbMath1217.37005arXiv0906.3416MaRDI QIDQ3574822

Stefano Galatolo

Publication date: 2 July 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3416

zbMATH Keywords

hitting timedecay of correlationlogarithm law

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dimension theory of smooth dynamical systems (37C45)

Related Items (8)

Shrinking targets for the geodesic flow on geometrically finite hyperbolic manifolds ⋮ Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Statistical Properties of Lorenz-like Flows, Recent Developments and Perspectives ⋮ Skew products, quantitative recurrence, shrinking targets and decay of correlations ⋮ Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors ⋮ Decay of correlations, quantitative recurrence and logarithm law for contracting Lorenz attractors ⋮ Anomalous time-scaling of extreme events in infinite systems and Birkhoff sums of infinite observables ⋮ Extreme value distributions for one-parameter actions on homogeneous spaces

Cites Work

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• The recurrence time for interval exchange maps
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• The waiting time for irrational rotations
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