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Irreducible Markov systems on Polish spaces

Tom 177 / 2006

Katarzyna Horbacz, Tomasz Szarek Studia Mathematica 177 (2006), 285-295 MSC: Primary 60J10; Secondary 28A80. DOI: 10.4064/sm177-3-7

Streszczenie

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.

Autorzy

  • Katarzyna HorbaczInstitute of Mathematics
    Silesian University
    Bankowa 14
    40-007 Katowice, Poland
    e-mail
  • Tomasz SzarekInstitute of Mathematics
    Silesian University
    Bankowa 14
    40-007 Katowice, Poland
    e-mail

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