A new sufficient condition for the existence of an invariant measure for Markov operators defined on Polish spaces is presented. This criterion is applied to iterated function systems.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-3-2,
author = {Tomasz Szarek},
title = {Invariant measures for Markov operators with application to function systems},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {207-222},
zbl = {1036.47003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-3-2}
}
Tomasz Szarek. Invariant measures for Markov operators with application to function systems. Studia Mathematica, Tome 157 (2003) pp. 207-222. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-3-2/