Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits

DOI10.1090/memo/1425zbMath1523.37001arXiv1803.08758OpenAlexW2789949083MaRDI QIDQ6107960

Pablo Candela, Balázs Szegedy

Publication date: 28 June 2023

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

Full work available at URL: https://arxiv.org/abs/1803.08758

zbMATH Keywords

ergodic theoryarithmetic combinatoricsGowers normsHost-Kra seminorms

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Ergodic theorems, spectral theory, Markov operators (37A30) General groups of measure-preserving transformations and dynamical systems (37A15) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Homogeneous flows (37A17) Relations between ergodic theory and number theory (37A44) Relations between ergodic theory and harmonic analysis (37A46)

Related Items (4)

On higher-order Fourier analysis in characteristic p ⋮ On the structure theory of cubespace fibrations ⋮ Host–Kra theory for -systems and multiple recurrence ⋮ Strictly ergodic distal models and a new approach to the Host-Kra factors

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