Irreducible Markov systems on Polish spaces

• Autorzy: Katarzyna Horbacz , Tomasz Szarek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 60J10: Markov chains (discrete-time Markov processes on discrete state spaces)
• 28A80: Fractals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 177
• Numer: 3
• Strony: 285-295

Daty

wydano

2006

Twórcy

autor

Katarzyna Horbacz

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

autor

Tomasz Szarek

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/sm177-3-7