On some results on the stability of Markov operators
Probability
2018-09-25 v3 Functional Analysis
Abstract
We formulate a criterion for the existence of an invariant measure for a Feller semigroup defined on a metric space with the e-property for bounded continuous functions and use it to prove the asymptotic stability of a semigroup satisfying a lower bound condition. Our results complement those of A. Lasota and J. A. Yorke in proper metric spaces and of T. Szarek in Polish spaces.
Keywords
Cite
@article{arxiv.1604.02968,
title = {On some results on the stability of Markov operators},
author = {Stanisław Wȩdrychowicz and Andrzej Wiśnicki},
journal= {arXiv preprint arXiv:1604.02968},
year = {2018}
}
Comments
14 pages, revised version, to appear in Studia Mathematica