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Bibliographic Metadata

Title
On some classes of birth and death processes in continuum
Author
Derdziuk, Lukasz
Degree supervisor
Kondratiev, Yuri G.
Published
2011
Language
English
Document type
Dissertation (PhD)
Keywords
Kontinuum (Mathematik) / Konfigurationsraum / Stochastischer Prozess / Diffusionsprozess / Geburt-Tod-Prozess (Mathematik) / Kontaktmodell / Glauber-Dynamik / Contact model / Ecological model / Glauber dynamics
URN
urn:nbn:de:hbz:361-18181

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On some classes of birth and death processes in continuum [Pdf 0.85 mb]
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Classification

Klassifikation (DDC) → Naturwissenschaften und Mathematik → Mathematik → Mathematik

Abstract

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.

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