Uniqueness of a Furstenberg system

DOI10.1090/PROC/15453zbMath1472.37001arXiv2005.07295OpenAlexW3123259535MaRDI QIDQ4990352

Andreu Ferré Moragues, Vitaly Bergelson

Publication date: 28 May 2021

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

Full work available at URL: https://arxiv.org/abs/2005.07295

zbMATH Keywords

Følner setsamenable groupsFurstenberg correspondenceupper densitymeasure-preserving dynamical systems

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Means on groups, semigroups, etc.; amenable groups (43A07) General groups of measure-preserving transformations and dynamical systems (37A15) Relations between ergodic theory and number theory (37A44) Relations between ergodic theory and harmonic analysis (37A46)

Related Items (1)

Juxtaposing combinatorial and ergodic properties of large sets of integers

Cites Work

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• Density and invariant means in left amenable semigroups
• Sumset phenomenon in countable amenable groups
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Einige Sätze über messbare Abbildungen
• Nonstandard analysis and the sumset phenomenon in arbitrary amenable groups
• Higher order Fourier analysis of multiplicative functions and applications
• Folner's Conditions for Amenable Semi-Groups.

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