Geodesic
Irreducible Markov systems on Polish spaces
Katarzyna Horbacz 1   ; Tomasz Szarek 1
1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland
Studia Mathematica, Tome 177 (2006) no. 3, pp. 285-295 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm177-3-7
Keywords: contractive markov systems polish spaces which arise graph directed constructions iterated function systems place dependent probabilities considered shown their stability may studied using concentrating methods developed second author dissert math werners results obtained locally compact london math soc extended noncompact setting

Katarzyna Horbacz  1   ; Tomasz Szarek  1

1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland 
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Katarzyna Horbacz; Tomasz Szarek. Irreducible Markov systems on Polish spaces. Studia Mathematica, Tome 177 (2006) no. 3, pp. 285-295. doi: 10.4064/sm177-3-7

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