Relation between the eventual continuity and the e-property for Markov-Feller semigroups

Y Liu, Z Liu - Acta Mathematicae Applicatae Sinica, English Series, 2024 - Springer
We investigate some relations between two kinds of semigroup regularities, namely the e-
property and the eventual continuity, both of which contribute to the ergodicity for Markov …

Ergodicity for eventually continuous Markov--Feller semigroups on Polish spaces

F Gong, Y Liu, Y Liu, Z Liu - arxiv preprint arxiv:2412.19029, 2024 - arxiv.org
This paper investigates the ergodicity of Markov--Feller semigroups on Polish spaces,
focusing on very weak regularity conditions, particularly the Ces\aro eventual continuity …

The e-property of asymptotically stable Markov semigroups

R Kukulski, H Wojewódka-Ścia̧żko - Results in Mathematics, 2024 - Springer
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 …