Convergence of weighted polynomial multiple ergodic averages

DOI10.1090/S0002-9939-08-09614-7zbMath1175.37003arXiv0802.3138MaRDI QIDQ3623349

Qing Chu

Publication date: 17 April 2009

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

Full work available at URL: https://arxiv.org/abs/0802.3138

zbMATH Keywords

nilsequencesuniversally good sequencesweighted ergodic averagesWiener-Wintner ergodic theorem

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (12)

Some open problems on multiple ergodic averages ⋮ Norm convergence of continuous-time polynomial multiple ergodic averages ⋮ Automatic sequences as good weights for ergodic theorems ⋮ Linear sequences and weighted ergodic theorems ⋮ Polynomial orbits in totally minimal systems ⋮ Weighted multiple ergodic averages and correlation sequences ⋮ Complexity of nilsystems and systems lacking nilfactors ⋮ An approximate logic for measures ⋮ Nilsystems and ergodic averages along primes ⋮ On the homogeneous ergodic bilinear averages with Möbius and Liouville weights ⋮ Generic properties of extensions ⋮ A polynomial version of Sarnak's conjecture

Cites Work

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• Nonconventional ergodic averages and nilmanifolds
• Un théorème de disjonction de systèmes dynamiques et une généralisation du théorème ergodique de Wiener—Wintner
• Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
• A non-conventional ergodic theorem for a nilsystem
• Harmonic Analysis and Ergodic Theory

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