Shrinking targets in fast mixing flows and the geodesic flow on negatively curved manifolds

DOI10.1088/0951-7715/24/11/005zbMath1248.37032arXiv1101.0486OpenAlexW3099625339MaRDI QIDQ3103716

Isaia Nisoli, Stefano Galatolo

Publication date: 8 December 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0486

zbMATH Keywords

decay of correlationslogarithm lawvariable negative curvature

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) Contact systems (37J55)

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 ⋮ A Survey on the Dimension Theory in Dynamical Diophantine Approximation ⋮ 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

This page was built for publication: Shrinking targets in fast mixing flows and the geodesic flow on negatively curved manifolds