Topological multiple recurrence of weakly mixing minimal systems for generalized polynomials

DOI10.1007/s10114-021-1053-7zbMath1487.37017arXiv2101.06959OpenAlexW4225987062MaRDI QIDQ2065647

Jianjie Zhao, Rui-feng Zhang

Publication date: 12 January 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.06959

zbMATH Keywords

weakly mixinggeneralized polynomialsmultiple recurrence

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

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• Topological correspondence of multiple ergodic averages of nilpotent group actions
• Distribution of values of bounded generalized polynomials
• An explicit scattering, non-weakly mixing example and weak disjointness
• Diagonal points having dense orbit
• Weakly mixing PET
• On weak mixing, minimality and weak disjointness of all iterates
• Polynomial extensions of van der Waerden’s and Szemerédi’s theorems

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