English

The e-property of asymptotically stable Markov-Feller operators

Probability 2023-03-23 v1

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.

Keywords

Cite

@article{arxiv.2001.05785,
  title  = {The e-property of asymptotically stable Markov-Feller operators},
  author = {Ryszard Kukulski and Hanna Wojewódka-Ściążko},
  journal= {arXiv preprint arXiv:2001.05785},
  year   = {2023}
}

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17 pages