Extreme-value distributions for some classes of non-uniformly partially hyperbolic dynamical systems

DOI10.1017/S0143385709000406zbMath1210.37003arXiv0809.5017MaRDI QIDQ3569986

Chinmaya Gupta

Publication date: 22 June 2010

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

Full work available at URL: https://arxiv.org/abs/0809.5017

zbMATH Keywords

decay of correlationsskew extensionnon-uniformly hyperbolic maps

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems involving maps of the interval (37E05)

Related Items (13)

Speed of convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems ⋮ Extremal dichotomy for uniformly hyperbolic systems ⋮ Extreme amplitudes of a periodically forced Duffing oscillator ⋮ Compound Poisson law for hitting times to periodic orbits in two-dimensional hyperbolic systems ⋮ Extreme value laws in dynamical systems under physical observables ⋮ Numerical convergence of the block-maxima approach to the generalized extreme value distribution ⋮ Extreme value theory for random walks on homogeneous spaces ⋮ A note on Borel–Cantelli lemmas for non-uniformly hyperbolic dynamical systems ⋮ Extreme value laws for dynamical systems under observational noise ⋮ A Fréchet law and an Erdős–Philipp law for maximal cuspidal windings ⋮ Extreme value theory for non-uniformly expanding dynamical systems ⋮ Weak convergence to extremal processes and record events for non-uniformly hyperbolic dynamical systems ⋮ Extremes and extremal indices for level set observables on hyperbolic systems ^*

Cites Work

• Unnamed Item
• Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
• Statistical properties of dynamical systems with some hyperbolicity
• Statistics of closest return for some non-uniformly hyperbolic systems
• Statistical properties of a skew product with a curve of neutral points
• Limit theorems for partially hyperbolic systems
• Statistical stability for robust classes of maps with non-uniform expansion

This page was built for publication: Extreme-value distributions for some classes of non-uniformly partially hyperbolic dynamical systems