Fluctuation of means in the Birkhoff-Khinchin ergodic theorem (Q1920075)
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scientific article; zbMATH DE number 917989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fluctuation of means in the Birkhoff-Khinchin ergodic theorem |
scientific article; zbMATH DE number 917989 |
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Fluctuation of means in the Birkhoff-Khinchin ergodic theorem (English)
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28 August 1996
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The author proves a refinement of the classical Birkhoff-Khinchin theorem in ergodic theory. His version is called fluctuation ergodic theorem. In his approach, he uses results and the formalism of nonstandard analysis.
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internal set theory
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Birkhoff-Khinchin theorem
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fluctuation ergodic theorem
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nonstandard analysis
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