Weighted multiple ergodic averages and correlation sequences

DOI10.1017/etds.2016.19zbMath1401.37008arXiv1511.05945OpenAlexW3105505473MaRDI QIDQ4643233

Bernard Host, Nikos Frantzikinakis

Publication date: 24 May 2018

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05945

zbMATH Keywords

convergence resultsuniversal weight

Mathematics Subject Classification ID

Related Items (10)

Interpolation sets and nilsequences ⋮ Khintchine-type recurrence for 3-point configurations ⋮ Some open problems on multiple ergodic averages ⋮ A decomposition of multicorrelation sequences for commuting transformations along primes ⋮ Seminorm control for ergodic averages with commuting transformations along pairwise dependent polynomials ⋮ On arithmetic functions orthogonal to deterministic sequences ⋮ Decomposition of multicorrelation sequences and joint ergodicity ⋮ Structure of multicorrelation sequences with integer part polynomial iterates along primes ⋮ Properties of multicorrelation sequences and large returns under some ergodicity assumptions ⋮ Nilsystems and ergodic averages along primes

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