Displaying similar documents to “Unique ergodicity of irreducible Markov operators on C(X)”

The uniqueness of invariant measures for Markov operators

Tomasz Szarek (2008)

Studia Mathematica

Similarity:

It is shown that Markov operators with equicontinuous dual operators which overlap supports have at most one invariant measure. In this way we extend the well known result proved for Markov operators with the strong Feller property by R. Z. Khas'minski.

On the classification of Markov chains via occupation measures

Onésimo Hernández-Lerma, Jean Lasserre (2000)

Applicationes Mathematicae

Similarity:

We consider a Markov chain on a locally compact separable metric space X and with a unique invariant probability. We show that such a chain can be classified into two categories according to the type of convergence of the expected occupation measures. Several properties in each category are investigated.

On a nonstandard approach to invariant measures for Markov operators

Andrzej Wiśnicki (2010)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

Similarity:

We show the existence of invariant measures for Markov-Feller operators defined on completely regular topological spaces which satisfy the classical positivity condition.

Exponential Convergence For Markov Systems

Maciej Ślęczka (2015)

Annales Mathematicae Silesianae

Similarity:

Markov operators arising from graph directed constructions of iterated function systems are considered. Exponential convergence to an invariant measure is proved.