Fully oscillating sequences and weighted multiple ergodic limit

DOI10.1016/j.crma.2017.07.008zbMath1379.37019arXiv1705.01769OpenAlexW2963717300MaRDI QIDQ2401340

Ai-Hua Fan

Publication date: 8 September 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01769

zbMATH Keywords

zero entropySarnak's conjecture

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (7)

Bohr chaoticity of topological dynamical systems ⋮ Topological Wiener-Wintner ergodic theorem with polynomial weights ⋮ Equivalent definitions of oscillating sequences of higher orders ⋮ Aperiodicity of signs of Hecke eigenvalues ⋮ On uniformity of q‐multiplicative sequences ⋮ Möbius orthogonality for \(q\)-semimultiplicative sequences ⋮ Weighted Birkhoff ergodic theorem with oscillating weights

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• 0-1 sequences of the Thue-Morse type and Sarnak’s conjecture
• Automorphisms with Quasi-discrete Spectrum, Multiplicative Functions and Average Orthogonality Along Short Intervals
• Minimal Dynamical Systems with Quasi-Discrete Spectrum
• Affine Transformations with Quasi-Discrete Spectrum (I)
• Affine Transformations with Quasi-Discrete Spectrum (II)

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