Asymptotic behaviour of some Markov operators appearing in mathematical models of biology
Igor Melicherčík (1998)
Mathematica Slovaca
Similarity:
Igor Melicherčík (1998)
Mathematica Slovaca
Similarity:
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.
Tomasz Szarek (2000)
Studia Mathematica
Similarity:
A sufficient condition for the asymptotic stability of Markov operators acting on measures defined on Polish spaces is presented.
Andrzej Lasota, James A. Yorke (1986)
Časopis pro pěstování matematiky
Similarity:
Tomasz Szarek (1997)
Annales Polonici Mathematici
Similarity:
We prove a new sufficient condition for the asymptotic stability of Markov operators acting on measures. This criterion is applied to iterated function systems.