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math.PR2022★ 1 cited
The e-property of asymptotically stable Markov semigroups
Ryszard Kukulski, Hanna Wojewódka-Ściążko
The relations between asymptotic stability, the eventual e-property and the e-property of Markov semigroups, acting on measures defined on general (Polish) metric spaces, are studi…
math.PR2020★ 4 cited
The e-property of asymptotically stable Markov-Feller operators
Ryszard Kukulski, Hanna Wojewódka-Ściążko
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 th…