Multiple recurrence and convergence for Hardy sequences of polynomial growth

DOI10.1007/s11854-010-0026-zzbMath1211.37008arXiv0903.0042OpenAlexW1975431991MaRDI QIDQ628363

Nikos Frantzikinakis

Publication date: 10 March 2011

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0042

zbMATH Keywords

ergodic theorymultiple recurrencearithmetic progessionsHardy field functionsmultiple convergencemultiple ergodic averages

Mathematics Subject Classification ID

Related Items (28)

Joint ergodicity of Hardy field sequences ⋮ Some open problems on multiple ergodic averages ⋮ Polynomial ergodic averages for certain countable ring actions ⋮ From discrete- to continuous-time ergodic theorems ⋮ Multiple ergodic averages for variable polynomials ⋮ Multiple recurrence and convergence for certain averages along shifted primes ⋮ Equidistribution of sparse sequences on nilmanifolds ⋮ Single and multiple recurrence along non-polynomial sequences ⋮ Higher uniformity of arithmetic functions in short intervals I. All intervals ⋮ Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications ⋮ Pointwise multiple averages for sublinear functions ⋮ Nilsequences and multiple correlations along subsequences ⋮ Uniform distribution in nilmanifolds along functions from a Hardy field ⋮ Joint ergodicity of sequences ⋮ Variations on topological recurrence ⋮ Power bounded operators and the mean ergodic theorem for subsequences ⋮ Joint ergodicity along generalized linear functions ⋮ (Uniform) convergence of twisted ergodic averages ⋮ Optimal lower bounds for multiple recurrence ⋮ Random differences in Szemerédi's theorem and related results ⋮ Multiple ergodic averages for tempered functions ⋮ Complexity of nilsystems and systems lacking nilfactors ⋮ Poincaré recurrence and number theory: thirty years later ⋮ Integer part independent polynomial averages and applications along primes ⋮ Furstenberg systems of Hardy field sequences and applications ⋮ A multidimensional Szemerédi theorem for Hardy sequences of different growth ⋮ Joint ergodicity of fractional powers of primes ⋮ Problems and Results on Intersective Sets

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