Multiple recurrence and convergence without commutativity

DOI10.1112/jlms.12721zbMath1528.37002arXiv2111.01518OpenAlexW3210094406MaRDI QIDQ6176443

Bernard Host, Nikos Frantzikinakis

Publication date: 23 August 2023

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

Full work available at URL: https://arxiv.org/abs/2111.01518

zbMATH Keywords

convergence resultsergodic averagesnilmanifoldsmultiple recurrence

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Relations between ergodic theory and number theory (37A44)

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Multilinear Wiener-Wintner type ergodic averages and its application ⋮ A generalization of van der Corput's difference theorem with applications to recurrence and multiple ergodic averages

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