On mixing and the local central limit theorem for hyperbolic flows

DOI10.1017/etds.2018.29zbMath1440.37012arXiv1710.08568OpenAlexW2765554428MaRDI QIDQ5203830

Péter Nándori, Dmitry Dolgopyat

Publication date: 9 December 2019

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

Full work available at URL: https://arxiv.org/abs/1710.08568

zbMATH Keywords

central limit theoremmixingsuspension flow

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (15)

The work of Sébastien Gouëzel on limit theorems and on weighted Banach spaces ⋮ Bernoulli property for certain skew products over hyperbolic systems ⋮ Mixing properties of generalized \(T,T^{-1}\) transformations ⋮ Asymptotic expansion of correlation functions for \({\mathbb{Z}^d}\) covers of hyperbolic flows ⋮ Krickeberg mixing for \(\mathbb{Z}\)-extensions of Gibbs Markov semiflows ⋮ Flexibility of statistical properties for smooth systems satisfying the central limit theorem ⋮ Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon ⋮ Quenched limit theorems for random U(1) extensions of expanding maps ⋮ Local limit theorems for suspended semiflows ⋮ Sharp large deviations for hyperbolic flows ⋮ Equidistribution for standard pairs in planar dispersing billiard flows ⋮ Global observables for RW: law of large numbers ⋮ Expansions in the local and the central limit theorems for dynamical systems ⋮ A central limit theorem for periodic orbits of hyperbolic flows ⋮ Infinite measure mixing for some mechanical systems

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