Strong and weak stability of some Markov operators

Ryszard Rudnicki
2000 Colloquium Mathematicum  
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.
doi:10.4064/cm-84/85-1-255-263 fatcat:hcu7tfpwrnhxnfsavi6gxsvnd4