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The e-property of asymptotically stable Markov-Feller operators

Published 16 Jan 2020 in math.PR | (2001.05785v1)

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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