Strictly ergodic distal models and a new approach to the Host-Kra factors

DOI10.1016/j.jfa.2022.109779OpenAlexW2977142202MaRDI QIDQ2108027

Zhengxing Lian, Yonatan Gutman

Publication date: 19 December 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11349

zbMATH Keywords

Host-Kra factornonconventional ergodic averagepronilfactorstrictly ergodic distal

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Ergodic theorems, spectral theory, Markov operators (37A30) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (6)

Maximal pronilfactors and a topological Wiener-Wintner theorem ⋮ On higher-order Fourier analysis in characteristic p ⋮ On the structure theory of cubespace fibrations ⋮ Host–Kra theory for -systems and multiple recurrence ⋮ Distal systems in topological dynamics and ergodic theory ⋮ Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16--22, 2022

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