A Fréchet law and an Erdős–Philipp law for maximal cuspidal windings
From MaRDI portal
Publication:2842224
DOI10.1017/S0143385712000235zbMath1326.37034arXiv1109.3583OpenAlexW3101975178WikidataQ125375756 ScholiaQ125375756MaRDI QIDQ2842224
Marc Kesseböhmer, Johannes Jaerisch, Bernd O. Stratmann
Publication date: 13 August 2013
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.3583
Geodesics in global differential geometry (53C22) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Related Items
Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Some distribution results of the Oppenheim continued fractions ⋮ Central limit theorems for the shrinking target problem ⋮ Dynamical Borel–Cantelli lemmas and rates of growth of Birkhoff sums of non-integrable observables on chaotic dynamical systems ⋮ Annealed and quenched limit theorems for random expanding dynamical systems
Cites Work
- Unnamed Item
- Unnamed Item
- Extreme value laws in dynamical systems for non-smooth observations
- On the link between dependence and independence in extreme value theory for dynamical systems
- Hitting time statistics and extreme value theory
- Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics
- Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
- Group completions and limit sets of Kleinian groups
- The asymptotic distributional behaviour of transformations preserving infinite measures
- The limit set of a Fuchsian group
- Maxima and minima of stationary sequences
- On the metrical theory of continued fraction mixing fibred systems and its application to Jacobi-Perron algorithm
- Extreme value distributions in chaotic dynamics.
- Inequalities for certain Fuchsian groups
- Sur la distribution limite du terme maximum d'une série aléatoire
- Statistics of closest return for some non-uniformly hyperbolic systems
- Extreme value theory and return time statistics for dispersing billiard maps and flows, Lozi maps and Lorenz-like maps
- Extreme-value distributions for some classes of non-uniformly partially hyperbolic dynamical systems
- A Borel–Cantelli lemma for nonuniformly expanding dynamical systems
- Discrete conformal groups and measurable dynamics
- The Dynkin-Lamperti arc-sine laws for measure preserving transformations
- A multifractal formalism for growth rates and applications to geometrically finite Kleinian groups
- The return sequence of the Bowen–Series map for punctured surfaces
- The Patterson Measure for Geometrically Finite Groups with Parabolic Elements, New and Old
- Extreme Values in Uniformly Mixing Stationary Stochastic Processes
- THE DISTRIBUTION OF THE LARGEST COEFFICIENT IN CONTINUED FRACTION EXPANSIONS
- On extreme values in stationary sequences
- Infinite ergodic theory for Kleinian groups
- Limit Theorems for the Maximum Term in Stationary Sequences
- Extreme Values in Samples from $m$-Dependent Stationary Stochastic Processes