The e-property of asymptotically stable Markov-Feller operators

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.

17 pages

References in corpus (1)

• Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling

Cited by in corpus (1)

• The e-property of asymptotically stable Markov semigroups