An ergodic Szemerédi theorem for commuting transformations (Q1135955)
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scientific article; zbMATH DE number 3663470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An ergodic Szemerédi theorem for commuting transformations |
scientific article; zbMATH DE number 3663470 |
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An ergodic Szemerédi theorem for commuting transformations (English)
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1978
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The authors prove the measure-theoretic analogue to the theorem mentioned in [\textit{H. Furstenberg} and \textit{B. Weiss}, J. Anal. Math. 34, 61--85 (1978; Zbl 0425.54023)]. In the spirit of \textit{H. Furstenberg} [J. Anal. Math. 31, 204--256 (1977; Zbl 0347.28016)] this is used to give a multidimensional extension of Szemerédi' theorem.
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ergodic Szemerédi theorem
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Poincaré recurrence theorem
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multidimensional extension
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