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/