Abstract
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.
Citation
Dieter Zimmermann. "Uniqueness in ergodic decomposition of invariant probabilities." Illinois J. Math. 36 (2) 325 - 344, Summer 1992. https://doi.org/10.1215/ijm/1255987540
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