Attractors of iterated function systems and Markov operators.
Myjak, Józef, Szarek, Tomasz (2003)
Abstract and Applied Analysis
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Displaying similar documents to “Invariant measures for iterated function systems”
Attractors of iterated function systems and Markov operators.
Invariant measures for Markov operators with application to function systems
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.
On the existence of invariant densities for Markov operators
Jolanta Socała (1988)
Annales Polonici Mathematici
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On a nonstandard approach to invariant measures for Markov operators
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.
On a nonstandard approach to invariant measures for Markov operators
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.
The uniqueness of invariant measures for Markov operators
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.
Invariant probabilities for Feller-Markov chains.
Hernández-Lerma, Onésimo, Lasserre, Jean B. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Some notes on topological recurrence.
Carlsson, Niclas (2005)
Electronic Communications in Probability [electronic only]
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On typical Markov operators acting on Borel measures.
Szarek, Tomasz (2005)
Abstract and Applied Analysis
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Generic properties of learning systems
Tomasz Szarek (2000)
Annales Polonici Mathematici
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It is shown that the set of learning systems having a singular stationary distribution is generic in the family of all systems satisfying the average contractivity condition.
Invariant measures for nonexpansive Markov operators on Polish spaces
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.
On the classification of Markov chains via occupation measures
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.
On the existence of invariant measures for Markov processes
A. Lasota (1973)
Annales Polonici Mathematici
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The stability of Markov operators on Polish spaces
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.
Strong ratio limit theorems for mixing Markov operators
Michael Lin (1976)
Annales de l'I.H.P. Probabilités et statistiques
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Invariant measures for random dynamical systems
Katarzyna Horbacz
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We consider random dynamical systems with randomly chosen jumps on Polish spaces. They generalize Markov processes corresponding to iterated function systems, Poisson driven stochastic differential equations, and irreducible Markov systems. We formulate criteria for the existence of an invariant measure and asymptotic stability for these systems. Estimates of the lower pointwise and concentration dimension of invariant measures are also given.