Multidimensional multiplicative large sets in totally minimal systems

DOI10.1007/S10114-023-2391-4zbMath1528.37012OpenAlexW4386380829MaRDI QIDQ6079313

Jianjie Zhao

Publication date: 29 September 2023

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

Full work available at URL: https://doi.org/10.1007/s10114-023-2391-4

zbMATH Keywords

totally minimal systemsmultidimensional multiplicative upper Banach density

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Combinatorial dynamics (types of periodic orbits) (37E15) Ore rings, multiplicative sets, Ore localization (16U20) Dynamics in general topological spaces (37B02)

Cites Work

• Unnamed Item
• Multiplicatively large sets and ergodic Ramsey theory
• Multiplicative structures in additively large sets
• Multidimensional multiplicative combinatorial properties of dynamical syndetic sets
• Multiplicative combinatorial properties of return time sets in minimal dynamical systems
• D-function of a minimal set and an extension of Sharkovskii's theorem to minimal sets
• Introduction to Dynamical Systems
• Ergodic Theory

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