Pointwise characteristic factors for Wiener–Wintner double recurrence theorem

DOI10.1017/ETDS.2014.99zbMath1353.37006arXiv1402.7094OpenAlexW2117690806MaRDI QIDQ2813940

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Publication date: 17 June 2016

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

Full work available at URL: https://arxiv.org/abs/1402.7094

zbMATH Keywords

double recurrencestandard ergodic systemWiener-Wintner averages

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Other special methods applied to PDEs (35A25)

Related Items (10)

Some open problems on multiple ergodic averages ⋮ Multilinear Wiener-Wintner type ergodic averages and its application ⋮ A double return times theorem ⋮ A good universal weight for nonconventional ergodic averages in norm ⋮ Wiener's lemma along primes and other subsequences ⋮ Divergence of weighted square averages in \(L^1\) ⋮ Weighted multiple ergodic averages and correlation sequences ⋮ Extension of Wiener-Wintner double recurrence theorem to polynomials ⋮ On the homogeneous ergodic bilinear averages with Möbius and Liouville weights ⋮ Generic properties of extensions

Cites Work

• Substitution dynamical systems. Spectral analysis
• Pointwise convergence of ergodic averages along cubes
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Nonconventional ergodic averages and nilmanifolds
• Pointwise characteristic factors for the multiterm return times theorem
• Universal characteristic factors and Furstenberg averages
• Théorèmes ergodiques pour des mesures diagonales
• Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
• A new proof of Szemerédi's theorem

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