Iterated function systems with place-dependent probabilities are considered. It is shown that the rate of convergence of transition probabilities to a unique invariant measure is geometric.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm205-3-1, author = {Maciej \'Sl\k eczka}, title = {The rate of convergence for iterated function systems}, journal = {Studia Mathematica}, volume = {204}, year = {2011}, pages = {201-214}, zbl = {1244.60068}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm205-3-1} }
Maciej Ślęczka. The rate of convergence for iterated function systems. Studia Mathematica, Tome 204 (2011) pp. 201-214. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm205-3-1/