Nil Bohr-sets and almost automorphy of higher order

DOI10.1090/memo/1143zbMath1375.37029arXiv1407.1179OpenAlexW2963661339MaRDI QIDQ5365185

Wen Huang, Song Shao, Xiang Dong Ye

Publication date: 6 October 2017

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

Full work available at URL: https://arxiv.org/abs/1407.1179

zbMATH Keywords

nilpotent Lie groupPoincaré recurrencenilsystemalmost automorphygeneralized polynomialBohr setBirkhoff recurrence set

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Nilpotent and solvable Lie groups (22E25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Harmonic analysis on general compact groups (43A77)

Related Items (18)

Independence and almost automorphy of higher order ⋮ Some open problems on multiple ergodic averages ⋮ Strictly ergodic models under face and parallelepiped group actions ⋮ Affine transformation with zero entropy and nilsystems ⋮ Almost automorphy and Veech's relations of dynamics on compact \(T_2\)-spaces ⋮ Polynomial orbits in totally minimal systems ⋮ Characterizations of distality via weak equicontinuity ⋮ Regionally proximal relation of order \(d\) along arithmetic progressions and nilsystems ⋮ Dynamical cubes and a criteria for systems having product extensions ⋮ Sensitivity, proximal extension and higher order almost automorphy ⋮ Variations on topological recurrence ⋮ Directional dynamical cubes for minimal -systems ⋮ The most likely common difference of arithmetic progressions among primes ⋮ \(\mathrm{IP}_r^\ast\)-recurrence and nilsystems ⋮ Measurable sensitivity via Furstenberg families ⋮ Combinatorial properties of Nil-Bohr sets ⋮ On Katznelson’s Question for skew-product systems ⋮ On the set of the difference of primes

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