Recurrence rates for observations of flows

DOI10.1017/S014338571100037XzbMath1296.37024arXiv1101.5332MaRDI QIDQ4911046

Jérôme Rousseau

Publication date: 13 March 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5332

zbMATH Keywords

geodesic flowlocal dimensionAnosov flowequilibrium staterecurrence rate

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (7)

Zero-one law of Hausdorff dimensions of the recurrent sets ⋮ Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Skew products, quantitative recurrence, shrinking targets and decay of correlations ⋮ Exponential law for random subshifts of finite type ⋮ Quantitative recurrence for generic homeomorphisms ⋮ Escape rates for special flows and their higher order asymptotics ⋮ Hitting times distribution and extreme value laws for semi-flows

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