A dynamical approach to nonhomogeneous spectra

DOI10.4064/fm191-5-2023arXiv2204.11429OpenAlexW4385733445MaRDI QIDQ6144987

Jian Li, Xianjuan Liang

Publication date: 30 January 2024

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.11429

zbMATH Keywords

suspensionRamsey propertyFurstenberg familynonhomogeneous spectrumessential \(\mathcal{F}\)-setstrong \(\mathcal{F}\)-proximality

Mathematics Subject Classification ID

Structure of topological semigroups (22A15) Ramsey theory (05D10) 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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• Algebra in the Stone-Čech compactification. Theory and applications
• Central sets and their combinatorial characterization
• Sets satisfying the central sets theorem
• Dynamical characterization of C-sets and its application
• Spectra of Numbers
• Iterated Spectra of Numbers—Elementary, Dynamical, and Algebraic Approaches
• Nonmetrizable Topological Dynamics and Ramsey Theory
• Large sets of integers and hierarchy of mixing properties of measure preserving systems

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