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arXiv · 2001.05785

The e-property of asymptotically stable Markov-Feller operators

Ryszard Kukulski·Hanna Wojewódka-Ściążko
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Abstract

In this work, we prove that any asymptotically stable Markov-Feller operator possesses the e-property everywhere outside at most a meagre set. We also provide an example showing that this result is tight. Moreover, an equivalent criterion for the e-property is proposed.

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Ryszard Kukulski, Hanna Wojewódka-Ściążko. 2020-01-16. The e-property of asymptotically stable Markov-Feller operators. https://doi.org/10.4064/cm8165-6-2020

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