Isometric extensions and multiple recurrence of infinite measure preserving systems

DOI10.1007/BF02786634zbMath1056.37002OpenAlexW2076285154MaRDI QIDQ1885539

Kokoro Inoue

Publication date: 11 November 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786634

zbMATH Keywords

1-factor mapsFürstenberg's multiple recurrence theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (1)

Spectral multiplicities of infinite measure preserving transformations

Cites Work

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• Multiple recurrence and infinite measure preserving odometers
• Multiple recurrence of Markov shifts and other infinite measure preserving transformations
• On sets of integers containing k elements in arithmetic progression
• Infinite measure preserving transformations with “mixing”

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