Strong ratio limit theorems for mixing Markov operators
Michael Lin (1976)
Annales de l'I.H.P. Probabilités et statistiques
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Michael Lin (1976)
Annales de l'I.H.P. Probabilités et statistiques
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Hernández-Lerma, Onésimo, Lasserre, Jean B. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Tomasz Szarek (2008)
Studia Mathematica
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It is shown that Markov operators with equicontinuous dual operators which overlap supports have at most one invariant measure. In this way we extend the well known result proved for Markov operators with the strong Feller property by R. Z. Khas'minski.
Onésimo Hernández-Lerma, Jean Lasserre (2000)
Applicationes Mathematicae
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We consider a Markov chain on a locally compact separable metric space and with a unique invariant probability. We show that such a chain can be classified into two categories according to the type of convergence of the expected occupation measures. Several properties in each category are investigated.
Jolanta Socała (1988)
Annales Polonici Mathematici
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M. F. Barnsley, S. G. Demko, J. H. Elton, J. S. Geronimo (1988)
Annales de l'I.H.P. Probabilités et statistiques
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S. Horowitz (1974)
Annales de l'I.H.P. Probabilités et statistiques
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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 (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.
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.