On some classes of birth and death processes in continuum

The thesis is devoted to the studies of four birth-and-death type processes in continuum. The contact process and Glauber-type dynamics in random environment are treated. Additionally, two-component systems are introduced: the ecological model and Glauber-Potts type model. For all of the above-mentioned processes, the existence of the associated dynamics is proven. The Vlasov-type scaling is applied to the two-component models and the corresponding Vlasov equations are derived.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Universität Bielefeld

Year

2011

Author dc:creator

• Derdziuk, Lukasz

Repository record source_url

https://pub.uni-bielefeld.de/record/2305932

OAI identifier oai:identifier

oai:pub.uni-bielefeld.de:2305932