Lower bounds for generalized upcrossings of ergodic averages (Q1409645)
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scientific article; zbMATH DE number 1993665
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lower bounds for generalized upcrossings of ergodic averages |
scientific article; zbMATH DE number 1993665 |
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Lower bounds for generalized upcrossings of ergodic averages (English)
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16 October 2003
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The authors obtain lower bounds for generalized upcrossings of ergodic averages of measure-preserving transformations, which (as it is shown in the paper) provides information on the number of spatial oscillations for these averages. Some results for downcrossings are obtained as well. Note that upper bounds for upcrossings of ergodic averages have been obtained earlier by \textit{E. Bishop} [J. Math. Mech. 17, 631-639 (1968; Zbl 0155.19001)].
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measure-preserving transformation
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ergodic averages
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