Contractive Markov systems on Polish spaces which arise from graph directed constructions of iterated function systems with place dependent probabilities are considered. It is shown that their stability may be studied using the concentrating methods developed by the second author [Dissert. Math. 415 (2003)]. In this way Werner's results obtained in a locally compact case [J. London Math. Soc. 71 (2005)] are extended to a noncompact setting.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm177-3-7,
author = {Katarzyna Horbacz and Tomasz Szarek},
title = {Irreducible Markov systems on Polish spaces},
journal = {Studia Mathematica},
volume = {173},
year = {2006},
pages = {285-295},
zbl = {1108.60066},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm177-3-7}
}
Katarzyna Horbacz; Tomasz Szarek. Irreducible Markov systems on Polish spaces. Studia Mathematica, Tome 173 (2006) pp. 285-295. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm177-3-7/