On invariant functions and ergodic measures of Markov operators on C(X)
Ryszard Rębowski (1987)
Colloquium Mathematicae
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Ryszard Rębowski (1987)
Colloquium Mathematicae
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R. M. Phatarfod (1983)
Applicationes Mathematicae
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Roberts, Gareth O., Rosenthal, Jeffrey S. (1997)
Electronic Communications in Probability [electronic only]
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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.
Zbyněk Šidák (1976)
Aplikace matematiky
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Heinrich P. Lotz (1981)
Mathematische Zeitschrift
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Wojciech Bartoszek (1987)
Colloquium Mathematicae
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Witold Bednorz (2013)
Applicationes Mathematicae
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We give an improved quantitative version of the Kendall theorem. The Kendall theorem states that under mild conditions imposed on a probability distribution on the positive integers (i.e. a probability sequence) one can prove convergence of its renewal sequence. Due to the well-known property (the first entrance last exit decomposition) such results are of interest in the stability theory of time-homogeneous Markov chains. In particular this approach may be used to measure rates of convergence...
Antoni Leon Dawidowicz, Andrzej Turski (1988)
Annales Polonici Mathematici
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