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arXiv · 1604.02968

On some results on the stability of Markov operators

Stanisław Wȩdrychowicz·Andrzej Wiśnicki
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Abstract

We formulate a criterion for the existence of an invariant measure for a Feller semigroup defined on a metric space with the e-property for bounded continuous functions and use it to prove the asymptotic stability of a semigroup satisfying a lower bound condition. Our results complement those of A. Lasota and J. A. Yorke in proper metric spaces and of T. Szarek in Polish spaces.

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Stanisław Wȩdrychowicz, Andrzej Wiśnicki. 2017-03-30. On some results on the stability of Markov operators. https://doi.org/10.4064/sm8584-3-2017

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