Multiplicative combinatorial properties of return time sets in minimal dynamical systems

DOI10.3934/DCDS.2019258zbMath1436.37013arXiv1809.08702OpenAlexW2956207751MaRDI QIDQ2272732

Andreas Koutsogiannis, Daniel Glasscock, Florian Karl Richter

Publication date: 20 September 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.08702

zbMATH Keywords

geometric progressionssyndetic setsreturn time setsminimal topological dynamical systemsmultiplicative upper Banach densitymultiplicatively large sets

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)

Related Items (6)

Topological characteristic factors and independence along arithmetic progressions ⋮ Multiplicative patterns in syndetic sets ⋮ Multidimensional multiplicative large sets in totally minimal systems ⋮ Geometric progressions in syndetic sets ⋮ Geometric progressions in syndetic sets ⋮ Multidimensional multiplicative combinatorial properties of dynamical syndetic sets

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