Asymptotic stability of a system of randomly connected transformations on Polish spaces

Katarzyna Horbacz

Annales Polonici Mathematici, Tome 77 (2001), p. 197-211 / Harvested from The Polish Digital Mathematics Library

Résumé

We give sufficient conditions for the existence of a matrix of probabilities ${[p_{i k}]}_{i, k = 1}^{N}$ such that a system of randomly chosen transformations $Π_{k}$ , k = 1,...,N, with probabilities $p_{i k}$ is asymptotically stable.

Publié le : 2001-01-01

Zbl 0982.47013

EUDML-ID : urn:eudml:doc:280220

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     title = {Asymptotic stability of a system of randomly connected transformations on Polish spaces},
     journal = {Annales Polonici Mathematici},
     volume = {77},
     year = {2001},
     pages = {197-211},
     zbl = {0982.47013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-3-3}
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Katarzyna Horbacz. Asymptotic stability of a system of randomly connected transformations on Polish spaces. Annales Polonici Mathematici, Tome 77 (2001) pp. 197-211. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap76-3-3/