Rates in almost sure invariance principle for dynamical systems with some hyperbolicity

DOI10.1007/s00220-018-3234-5zbMath1404.37031arXiv1703.09176OpenAlexW2887162476WikidataQ57920685 ScholiaQ57920685MaRDI QIDQ1989924

Alexey Korepanov

Publication date: 29 October 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09176

zbMATH Keywords

dynamical systemsinvariance principlehyperbolicitynonuniformly hyperbolic mapsnonuniformly expanding maps

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Functional limit theorems; invariance principles (60F17) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (12)

Random Young towers and quenched limit laws ⋮ Vector-valued almost sure invariance principles for (non)stationary and random dynamical systems ⋮ A vector-valued almost sure invariance principle for random expanding on average cocycles ⋮ A local limit theorem for a number of multiple recurrences generated by some mixing processes with applications to Young towers ⋮ A Berry-Esseen bound with (almost) sharp dependence conditions ⋮ Rates in almost sure invariance principle for slowly mixing dynamical systems ⋮ Rates in almost sure invariance principle for quickly mixing dynamical systems ⋮ Sharp connections between Berry-Esseen characteristics and Edgeworth expansions for stationary processes ⋮ Stability and limit theorems for sequences of uniformly hyperbolic dynamics ⋮ Almost sure invariance principle for random dynamical systems via Gouëzel's approach ⋮ Almost Sure Invariance Principle for Random Distance Expanding Maps with a Nonuniform Decay of Correlations ⋮ Statistical Properties of the Rauzy-Veech-Zorich Map

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