Random sequences and pointwise convergence of multiple ergodic averages

DOI10.1512/iumj.2012.61.4571zbMath1281.37006arXiv1012.1130OpenAlexW4307827862MaRDI QIDQ4923038

Máté Wierdl, Nikos Frantzikinakis, Emmanuel Lesigne

Publication date: 5 June 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.1130

zbMATH Keywords

pointwise convergenceergodic averagesrandom sequencesmean convergencemultiple recurrencecommuting transformations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Ramsey theory (05D10) Arithmetic progressions (11B25)

Related Items (15)

Some open problems on multiple ergodic averages ⋮ Arithmetic progressions with a pseudorandom step ⋮ A random pointwise ergodic theorem with Hardy field weights ⋮ Pointwise convergence of certain continuous-time double ergodic averages ⋮ A generalization of van der Corput's difference theorem with applications to recurrence and multiple ergodic averages ⋮ Multiple recurrence and convergence without commutativity ⋮ Joint ergodicity of sequences ⋮ Subspaces of tensors with high analytic rank ⋮ On Szemerédi’s theorem with differences from a random set ⋮ Random differences in Szemerédi's theorem and related results ⋮ Convergence of ergodic-martingale paraproducts ⋮ High-entropy dual functions over finite fields and locally decodable codes ⋮ Multiple recurrence for non-commuting transformations along rationally independent polynomials ⋮ Furstenberg systems of Hardy field sequences and applications ⋮ A multidimensional Szemerédi theorem for Hardy sequences of different growth

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