Irreducible Markov systems on Polish spaces

Katarzyna Horbacz; Tomasz Szarek

Studia Mathematica (2006)

  • Volume: 177, Issue: 3, page 285-295
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Katarzyna Horbacz, and Tomasz Szarek. "Irreducible Markov systems on Polish spaces." Studia Mathematica 177.3 (2006): 285-295. <http://eudml.org/doc/284947>.

@article{KatarzynaHorbacz2006,
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.},
author = {Katarzyna Horbacz, Tomasz Szarek},
journal = {Studia Mathematica},
keywords = {contractive Markov systems; iterated function systems; invariant measures},
language = {eng},
number = {3},
pages = {285-295},
title = {Irreducible Markov systems on Polish spaces},
url = {http://eudml.org/doc/284947},
volume = {177},
year = {2006},
}

TY - JOUR
AU - Katarzyna Horbacz
AU - Tomasz Szarek
TI - Irreducible Markov systems on Polish spaces
JO - Studia Mathematica
PY - 2006
VL - 177
IS - 3
SP - 285
EP - 295
AB - 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.
LA - eng
KW - contractive Markov systems; iterated function systems; invariant measures
UR - http://eudml.org/doc/284947
ER -

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