Ergodic averages with deterministic weights

DOI10.5802/AIF.1894zbMath1054.37003arXiv0808.0142OpenAlexW2963206563MaRDI QIDQ1613952

Dominique Schneider, Fabien Durand

Publication date: 3 September 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.0142

zbMATH Keywords

central limit theoremalmost sure convergence\(q\)-multiplicative sequences,substitution sequencesgeneralized Thue-Morse sequencesweighted ergodic averages

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Strong limit theorems (60F15) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Ergodicity, mixing, rates of mixing (37A25)

Related Items (5)

Quantitative quasiperiodicity ⋮ Super convergence of ergodic averages for quasiperiodic orbits ⋮ Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces ⋮ Weighted laws of large numbers and convergence of weighted ergodic averages on vector valued \(L_p\)-spaces ⋮ Weighted Birkhoff ergodic theorem with oscillating weights

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