Strong and weak stability of some Markov operators
Volume 84 / 2000
Colloquium Mathematicum 84 (2000), 255-263
DOI: 10.4064/cm-84/85-1-255-263
Abstract
An integral Markov operator $P$ appearing in biomathematics is investigated. This operator acts on the space of probabilistic Borel measures. Let $μ$ and $ν$ be probabilistic Borel measures. Sufficient conditions for weak and strong convergence of the sequence $(P^{n}μ-P^{n}ν)$ to $0$ are given.
