Equicontinuous families of Markov operators in view of asymptotic stability |
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| Authors: | Sander Cornelis Hille Tomasz Szarek Maria Aleksandra Ziemlańska |
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| Institution: | 1. Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA Leiden, The Netherlands;2. Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland |
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| Abstract: | The relation between the equicontinuity – the so-called e-property – and the stability of Markov operators is studied. In particular, it is shown that any asymptotically stable Markov operator with an invariant measure such that the interior of its support is non-empty satisfies the e-property. |
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