Some examples of application of the metric entropy method

DOI10.1023/B:AMHU.0000045531.17229.d4zbMath1068.60056MaRDI QIDQ558283

Michel J. G. Weber

Publication date: 5 July 2005

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

law of the iterated logarithmDiophantine approximationalmost sure convergencestationary Gaussian sequencessubsequencesdyadic chainingGál-Koksma theoremlower classesquantitative Borel-Cantelli LemmaStechkin theoremupper classes

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Maximal functions, Littlewood-Paley theory (42B25) Strong limit theorems (60F15) Sample path properties (60G17) General harmonic expansions, frames (42C15) Metric theory (11J83)

Related Items (7)

Convergence of series of strongly integrable random variables and applications ⋮ Classical and almost sure local limit theorems ⋮ Uniform bounds under increment conditions ⋮ Upper-lower class tests and frequency results along subsequences ⋮ A borderline Gaussian random Fourier series for the sample convergence in variation ⋮ A weighted central limit theorem ⋮ Analysis of a stratified Kraichnan flow

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