Skew products, quantitative recurrence, shrinking targets and decay of correlations
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Publication:2942570
DOI10.1017/etds.2014.10zbMath1352.37036arXiv1109.1912OpenAlexW3104346272MaRDI QIDQ2942570
Stefano Galatolo, Jérôme Rousseau, Benoît Saussol
Publication date: 11 September 2015
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.1912
Related Items (14)
A strong Borel–Cantelli lemma for recurrence ⋮ Quantitative statistical stability, speed of convergence to equilibrium and partially hyperbolic skew products ⋮ Random‐like properties of chaotic forcing ⋮ Central limit theorems for the shrinking target problem ⋮ Quantitative recurrence for free semigroup actions ⋮ 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 ⋮ On the recurrence rates of continued fractions ⋮ Rates of recurrence for free semigroup actions ⋮ Long hitting times for expanding systems ⋮ Generic properties of invariant measures of full-shift systems over perfect Polish metric spaces ⋮ Geometric law for numbers of returns until a hazard under \(\varphi\)-mixing ⋮ Exponential mixing for skew products with discontinuities ⋮ Quantitative global-local mixing for accessible skew products
Cites Work
- Unnamed Item
- On mixing properties of compact group extensions of hyperbolic systems
- Long hitting time, slow decay of correlations and arithmetical properties
- Hitting time statistics and extreme value theory
- Local limit theorem for nonuniformly partially hyperbolic skew-products and Farey sequences
- Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics
- Quantitative recurrence results
- Logarithm laws for flows on homogeneous spaces
- The ergodic theory of shrinking targets
- Diophantine properties of iets and general systems: quantitative proximality and connectivity
- Dimension via waiting time and recurrence
- The dynamical Borel-Cantelli Lemma and the waiting time problems
- Dimension and hitting time in rapidly mixing systems
- Hitting time and dimension in axiom A systems, generic interval exchanges and an application to Birkoff sums
- Recurrence rate in rapidly mixing dynamical systems
- Some metrical theorems in number theory
- Poincaré recurrence for observations
- Lorenz-like flows: exponential decay of correlations for the Poincaré map, logarithm law, quantitative recurrence
- Shrinking targets in fast mixing flows and the geodesic flow on negatively curved manifolds
- MIXING IN THE ABSENCE OF THE SHRINKING TARGET PROPERTY
- The recurrence time for interval exchange maps
- Hitting time in regular sets and logarithm law for rapidly mixing dynamical systems
- AN INTRODUCTION TO QUANTITATIVE POINCARÉ RECURRENCE IN DYNAMICAL SYSTEMS
- Entropy and data compression schemes
- Convergence of random walks on the circle generated by an irrational rotation
- The waiting time for irrational rotations
- Recurrence rates for observations of flows
- Hausdorff dimension of measures via Poincaré recurrence
- Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness
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