Topological and metric product \(\mathbb Z^d\)-actions and their applications

DOI10.1007/BF02790255zbMath0987.37002OpenAlexW2008154021MaRDI QIDQ5941772

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Publication date: 2 July 2002

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790255

zbMATH Keywords

rankKronecker sumcovering number\(\mathbb{Z}\)-actionChacon actionspectral multiplicitystrictly ergodic symbolic actiontopological flow

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) General groups of measure-preserving transformations and dynamical systems (37A15) Measurable group actions (22F10)

Cites Work

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• Multiplicity, rank pairs
• Rank, covering number and a simple spectrum
• Commuting measure-preserving transformations
• A Transformation with Simple Spectrum which is not Rank One
• Product $ℤ^d$-actions on a Lebesgue space and their applications
• Systems of finite rank

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