Andrzej Wiśnicki (2010)
Annales UMCS, Mathematica
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We show the existence of invariant measures for Markov-Feller operators defined on completely regular topological spaces which satisfy the classical positivity condition.
Andrzej Wiśnicki (2010)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We show the existence of invariant measures for Markov-Feller operators defined on completely regular topological spaces which satisfy the classical positivity condition.
Tomasz Szarek (2003)
Studia Mathematica
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A new sufficient condition for the existence of an invariant measure for Markov operators defined on Polish spaces is presented. This criterion is applied to iterated function systems.
Jolanta Socała (1988)
Annales Polonici Mathematici
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Anzelm Iwanik (1987)
Colloquium Mathematicum
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Antoni Leon Dawidowicz, Andrzej Turski (1988)
Annales Polonici Mathematici
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Tomasz Szarek (1997)
Annales Polonici Mathematici
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We prove a new sufficient condition for the asymptotic stability of Markov operators acting on measures. This criterion is applied to iterated function systems.
Tomasz Szarek (2000)
Studia Mathematica
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A sufficient condition for the asymptotic stability of Markov operators acting on measures defined on Polish spaces is presented.
Hernández-Lerma, Onésimo, Lasserre, Jean B. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Maciej Ślęczka (2015)
Annales Mathematicae Silesianae
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Markov operators arising from graph directed constructions of iterated function systems are considered. Exponential convergence to an invariant measure is proved.
Igor Melicherčík (1998)
Mathematica Slovaca
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Michael Lin (1976)
Annales de l'I.H.P. Probabilités et statistiques
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Tomasz Szarek
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New sufficient conditions for the existence of an invariant measure for nonexpansive Markov operators defined on Polish spaces are presented. These criteria are applied to iterated function systems, stochastically perturbed dynamical systems and Poisson stochastic differential equations. We also estimate the Ledrappier version of capacity for invariant measures.