Uniqueness in ergodic decomposition of invariant probabilities (Q811635)
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scientific article; zbMATH DE number 4216341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness in ergodic decomposition of invariant probabilities |
scientific article; zbMATH DE number 4216341 |
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Uniqueness in ergodic decomposition of invariant probabilities (English)
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1992
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We show that for any set of transition probabilities on a common measurable space and any invariant probability, there is at most one representing measure on the set of extremal, invariant probabilities with the \(\sigma\)-algebra generated by the evaluations. The proof uses nonstandard analysis.
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transition probabilities
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representing measure on the set of extremal, invariant probabilities
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nonstandard analysis
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