Variations around Eagleson’s theorem on mixing limit theorems for dynamical systems

DOI10.1017/etds.2019.42zbMath1455.37004arXiv1803.11450OpenAlexW2963941257MaRDI QIDQ5131219

Sébastien Gouëzel

Publication date: 4 November 2020

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

Full work available at URL: https://arxiv.org/abs/1803.11450

zbMATH Keywords

limit theoremsalmost sure invariance principlemixing of all ordersEagleson's theorem

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (1)

On Eagleson's theorem in the non‐stationary setup

Cites Work

• Almost sure invariance principle for nonuniformly hyperbolic systems
• The asymptotic distributional behaviour of transformations preserving infinite measures
• Equidistribution for nonuniformly expanding dynamical systems, and application to the almost sure invariance principle
• Mixing limit theorems for ergodic transformations
• Some Simple Conditions for Limit Theorems to Be Mixing

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