A multidimensional Szemerédi theorem for Hardy sequences of different growth

DOI10.1090/S0002-9947-2014-06275-2zbMath1351.37038arXiv1202.4784OpenAlexW2077189742MaRDI QIDQ5251610

Nikos Frantzikinakis

Publication date: 20 May 2015

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

Full work available at URL: https://arxiv.org/abs/1202.4784

zbMATH Keywords

recurrenceRamsey theoryergodic theoryHardy fieldnilmanifolds

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ramsey theory (05D10) Arithmetic progressions (11B25)

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Joint ergodicity of Hardy field sequences ⋮ Some open problems on multiple ergodic averages ⋮ Polynomial ergodic averages for certain countable ring actions ⋮ Multiple ergodic averages for variable polynomials ⋮ Seminorms for multiple averages along polynomials and applications to joint ergodicity ⋮ Single and multiple recurrence along non-polynomial sequences ⋮ Seminorm control for ergodic averages with commuting transformations along pairwise dependent polynomials ⋮ Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications ⋮ A view on multiple recurrence ⋮ Pointwise multiple averages for sublinear functions ⋮ Uniform distribution in nilmanifolds along functions from a Hardy field ⋮ Joint ergodicity of sequences ⋮ Optimal lower bounds for multiple recurrence ⋮ Multiple ergodic averages for tempered functions ⋮ Integer part independent polynomial averages and applications along primes ⋮ Furstenberg systems of Hardy field sequences and applications

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