On typical Markov operators acting on Borel measures.
Szarek, Tomasz (2005)
Abstract and Applied Analysis
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Displaying similar documents to “An application of -condition in the theory of stochastic differential equations”
On typical Markov operators acting on Borel measures.
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.
Uniform exponential ergodicity of stochastic dissipative systems
Beniamin Goldys, Bohdan Maslowski (2001)
Czechoslovak Mathematical Journal
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We study ergodic properties of stochastic dissipative systems with additive noise. We show that the system is uniformly exponentially ergodic provided the growth of nonlinearity at infinity is faster than linear. The abstract result is applied to the stochastic reaction diffusion equation in with .
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.
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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On invariant measures of nonlinear Markov processes.
Ahmed, N.U., Ding, Xinhong (1993)
Journal of Applied Mathematics and Stochastic Analysis
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