Uniform bounds under increment conditions

DOI10.1090/S0002-9947-05-03805-5zbMath1078.60025OpenAlexW1855231642MaRDI QIDQ5705537

Michel J. G. Weber

Publication date: 9 November 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03805-5

Mathematics Subject Classification ID

Strong limit theorems (60F15) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (10)

A complete characterization of coefficients of a.e. convergent orthogonal series and majorizing measures ⋮ On the rate of convergence of weighted oscillating ergodic averages ⋮ Classical and almost sure local limit theorems ⋮ Some examples of application of the metric entropy method ⋮ Some optimal pointwise ergodic theorems with rate ⋮ A weighted central limit theorem ⋮ Pointwise ergodic theorems with rate and application to the CLT for Markov chains ⋮ POINTWISE ERGODIC THEOREMS WITH RATE WITH APPLICATIONS TO LIMIT THEOREMS FOR STATIONARY PROCESSES ⋮ Extensions of the Menchoff-Rademacher theorem with applications to ergodic theory ⋮ Sampling the Lindelöf hypothesis for Dirichlet \(L\)-functions by the Cauchy random walk

Cites Work

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• Some examples of application of the metric entropy method
• Sample boundedness of stochastic processes under increment conditions
• Ergodic theorems. With a supplement by Antoine Brunel
• Perturbed ergodic theorems
• Laws of large numbers with rates and the one-sided ergodic Hilbert transform
• Almost sure convergence of weighted series of contractions
• Spectral regularization inequalities
• Estimating random polynomials by means of metric entropy methods
• Some theorems related to almost sure convergence of orthogonal series
• Fractional Poisson equations and ergodic theorems for fractional coboundaries

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