Some dynamical properties related to polynomials

DOI10.1090/PROC/16673arXiv2304.03097OpenAlexW4387096869MaRDI QIDQ6203196

Qinqi Wu

Publication date: 27 February 2024

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

Full work available at URL: https://arxiv.org/abs/2304.03097

zbMATH Keywords

integral polynomialinduced systemthickly syndetic

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 dynamics and combinatorial number theory
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Topological ergodic decompositions and applications to products of powers of a minimal transformation
• Multiple recurrence theorem for nilpotent group actions
• Arithmetic progressions in abundance by combinatorial tools
• Polynomial extensions of van der Waerden’s and Szemerédi’s theorems
• Partition regular structures contained in large sets are abundant

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