Irreducible Markov systems on Polish spaces
Volume 177 / 2006
Studia Mathematica 177 (2006), 285-295
MSC: Primary 60J10; Secondary 28A80.
DOI: 10.4064/sm177-3-7
Abstract
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.
