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A simple proof of the ergodic theorem using nonstandard analysis - MaRDI portal

A simple proof of the ergodic theorem using nonstandard analysis (Q1171671)

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scientific article; zbMATH DE number 3787131
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English
A simple proof of the ergodic theorem using nonstandard analysis
scientific article; zbMATH DE number 3787131

    Statements

    A simple proof of the ergodic theorem using nonstandard analysis (English)
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    1982
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    Loeb space
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    generic point
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    simple proof of the individual ergodic theorem
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    nonstandard measure theory
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    Loeb measure
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    dynamical system
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    universal system
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    cyclic system with a hyperfinite cycle
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