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Power weak mixing does not imply multiple recurrence in infinite measure and other counterexamples

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Publication:1866420
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zbMath1013.37005MaRDI QIDQ1866420

Deepam Patel, Fred Hines, Cesar E. Silva, Kate Gruher, Robert Waelder

Publication date: 7 April 2003

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/122675


zbMATH Keywords

weak mixingergodic theoremFurstenberg-Szemerédi ergodic theoreminfinite measure-preserving systemrank one staircase


Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Nonsingular (and infinite-measure preserving) transformations (37A40)


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Ergodic properties of Poissonian ID processes ⋮ Infinite symmetric ergodic index and related examples in infinite measure



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