Mach, Tibor
[Verfasser:in]
;
Sturm, Anja
[Akademische:r Betreuer:in];
Sturm, Anja
[Sonstige Person, Familie und Körperschaft];
Swart, Jan
[Sonstige Person, Familie und Körperschaft]
Dualities and genealogies in stochastic population models
Beschreibung:
In the thesis, population processes are studied in two different settings. In Part I, which arose in collaboration with Dr. Jan Swart, a so-called cooperative branching process is considered. We construct this process as an interacting particle system which consists of a population of individuals living on a discrete space who reproduce cooperatively, i.e. in order to produce a new individual it is necessary that two "parents" meet. The individuals also die independently of each other and in some special cases we consider a version where they can also move in the space and coalesce. In the ...