A random pointwise ergodic theorem with Hardy field weights

zbMath1366.37012arXiv1410.0806MaRDI QIDQ327402

Ben Krause, Pavel Zorin-Kranich

Publication date: 19 October 2016

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0806

zbMATH Keywords

measure-preserving systemrandom averagerandom increasing sequence

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (8)

Jump and variational inequalities for rough operators ⋮ Some open problems on multiple ergodic averages ⋮ Automatic sequences as good weights for ergodic theorems ⋮ The multilinear Littlewood-Paley operators with minimal regularity conditions ⋮ Weighted variation inequalities for differential operators and singular integrals in higher dimensions ⋮ Power bounded operators and the mean ergodic theorem for subsequences ⋮ Sparse Bounds for Random Discrete Carleson Theorems ⋮ Vector valued \(q\)-variation for differential operators and semigroups. I

Cites Work

• Universally \(L^1\)-bad arithmetic sequences
• Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
• An \(L^1\) ergodic theorem for sparse random subsequences
• On the maximal ergodic theorem for certain subsets of the integers
• Uniform distribution and Hardy fields
• Ergodic averaging sequences
• Random sequences and pointwise convergence of multiple ergodic averages

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