Convergence and divergence of ergodic averages

DOI10.1017/S0143385700008002zbMath0828.28008MaRDI QIDQ4314699

Máté Wierdl, Roger L. Jones

Publication date: 27 November 1994

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

zbMATH Keywords

convergenceLebesgue spacedivergenceergodic averagesergodic theorema.s. convergenceaperiodic measure-preserving flow

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (6)

Sublacunary sequences that are strong sweeping out ⋮ Grid method for divergence of averages ⋮ Divergence of Averages Obtained by Sampling a Flow ⋮ Rates of divergence of non-conventional ergodic averages ⋮ Ergodic theorems and the basis of science ⋮ Ergodic averaging sequences

Cites Work

• Almost everywhere convergence of weighted averages
• Almost sure convergence and bounded entropy
• Locally compact measure preservng flows
• Perturbation of a sequence
• On the approximation of Lebesgue integrals by Riemann sums
• Polynomially Moving Ergodic Averages
• Subsequence Ergodic Theorems for L p Contractions
• The Pointwise Ergodic Theorem for Amenable Groups
• Shorter Notes: Convergence of Averages of Point Transformations
• Divergence of Averages Obtained by Sampling a Flow
• On the Individual Ergodic Theorem for Subsequences
• On the Linear Independence of Fractional Powers of Integers

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