The uniqueness of invariant measures for Markov operators
Tomasz Szarek
Abstract
Open-access reader
Tomasz Szarek
Abstract
Open-access reader
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.
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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.
Key concepts: Mathematics, Markov chain, Equicontinuity, Invariant (physics), Uniqueness, Invariant measure, Pure mathematics, Markov process