Uniqueness in ergodic decomposition of invariant probabilities

Zimmermann, Dieter

Illinois J. Math., Tome 36 (1992) no. 4, p. 325-344 / Harvested from Project Euclid

Résumé

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.

Publié le : 1992-06-15
Classification: 28E05, 03H05, 46S20

@article{1255987540,
     author = {Zimmermann, Dieter},
     title = {Uniqueness in ergodic decomposition of invariant probabilities},
     journal = {Illinois J. Math.},
     volume = {36},
     number = {4},
     year = {1992},
     pages = { 325-344},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255987540}
}

Zimmermann, Dieter. Uniqueness in ergodic decomposition of invariant probabilities. Illinois J. Math., Tome 36 (1992) no. 4, pp.  325-344. http://gdmltest.u-ga.fr/item/1255987540/