Zusammenfassung
In this article, we discuss two of the main prototypes of measure-valued processes, namely the classical Fleming-Viot and Dawson-Watanabe processes, and some of their recent generalizations. In particular, we show how the so-called lookdown construction of Donnelly and Kurtz can be used to reveal interesting structural and path-properties of the (generalized) processes in the case when the underlying motion and branching mechanisms satisfy certain self-similarity properties. As applications of the method, we first discuss the notion of a ‘flickering random measure’, and then conclude with remarks about properties of the support of general, and in particular Beta-, Fleming-Viot processes.
Nutzer