Uniformity in the Wiener-Wintner theorem for nilsequences

DOI10.3934/DCDS.2013.33.3497zbMath1308.37006arXiv1208.3977OpenAlexW3106360338MaRDI QIDQ379510

Pavel Zorin-Kranich, Tetyana Lobova

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3977

zbMATH Keywords

uniform convergenceLie groupMal'cev basisnilsequenceprefiltrationWiener-Wintner theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30) Nilpotent and solvable Lie groups (22E25)

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Möbius disjointness for homogeneous dynamics ⋮ Some open problems on multiple ergodic averages ⋮ Automatic sequences as good weights for ergodic theorems ⋮ Linear sequences and weighted ergodic theorems ⋮ Sparse generalised polynomials ⋮ Maximal pronilfactors and a topological Wiener-Wintner theorem ⋮ Topological Wiener-Wintner ergodic theorem with polynomial weights ⋮ (Uniform) convergence of twisted ergodic averages ⋮ A good universal weight for nonconventional ergodic averages in norm ⋮ Divergence of weighted square averages in \(L^1\) ⋮ Generalized Fourier coefficients of multiplicative functions ⋮ Combinatorial properties of Nil-Bohr sets ⋮ Extension of Wiener-Wintner double recurrence theorem to polynomials ⋮ Nilsystems and ergodic averages along primes ⋮ Generic properties of extensions ⋮ Almost uniform convergence in the Wiener–Wintner ergodic theorem

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