A Hardy field extension of Szemerédi's theorem

DOI10.1016/j.aim.2009.03.017zbMath1182.37007arXiv0802.2734OpenAlexW2093506712MaRDI QIDQ2389236

Máté Wierdl, Nikos Frantzikinakis

Publication date: 15 July 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2734

zbMATH Keywords

arithmetic progressionsHardy fieldsmultiple recurrencemultiple ergodic averages

Mathematics Subject Classification ID

Related Items (22)

Joint ergodicity of Hardy field sequences ⋮ Some open problems on multiple ergodic averages ⋮ An inverse theorem for the uniformity seminorms associated with the action of \(\mathbb F_p^\infty\) ⋮ Linear equations with two variables in Piatetski-Shapiro sequences ⋮ Equidistribution of sparse sequences on nilmanifolds ⋮ Single and multiple recurrence along non-polynomial sequences ⋮ A system of certain linear Diophantine equations on analogs of squares ⋮ Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications ⋮ A view on multiple recurrence ⋮ Multiple recurrence and convergence for Hardy sequences of polynomial growth ⋮ Uniform distribution in nilmanifolds along functions from a Hardy field ⋮ Combinatorial Structures on van der Waerden sets ⋮ Variations on topological recurrence ⋮ Power bounded operators and the mean ergodic theorem for subsequences ⋮ (Uniform) convergence of twisted ergodic averages ⋮ Optimal lower bounds for multiple recurrence ⋮ Random differences in Szemerédi's theorem and related results ⋮ Distributions of finite sequences represented by polynomials in Piatetski-Shapiro sequences ⋮ Nilsequences and a structure theorem for topological dynamical systems ⋮ Complexity of nilsystems and systems lacking nilfactors ⋮ Linear Diophantine equations in Piatetski-Shapiro sequences ⋮ Problems and Results on Intersective Sets

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