Approximation and ergodic theorems (Q1072669)
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scientific article; zbMATH DE number 3941850
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation and ergodic theorems |
scientific article; zbMATH DE number 3941850 |
Statements
Approximation and ergodic theorems (English)
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1984
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The author obtains some extensions of the Katok-Stepin results on approximation of an automorphism of a Lebesgue space by a sequence of periodic transformations [\textit{A. B. Katok} and \textit{A. M. Stepin}, Sov. Math., Dokl. 7, 1638--1641 (1966); translation from Dokl. Akad. Nauk SSSR 171, 1268--1271 (1966; Zbl 0186.46701)].
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corollaries to the mean ergodic theorem
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characterization of complete ergodicity
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approximation of an automorphism of a Lebesgue space by a sequence of periodic transformations
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0.768345296382904
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