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Probabilistic Models For Population Dynamics

dc.contributor.authorBessonov, Mariyaen_US
dc.contributor.chairDurrett, Richard Timothyen_US
dc.contributor.committeeMemberSaloff-Coste, Laurent Pascalen_US
dc.contributor.committeeMemberGross, Leonarden_US
dc.contributor.committeeMemberMolchanov, Stanislav Aen_US
dc.date.accessioned2013-09-16T16:43:01Z
dc.date.available2018-08-20T06:00:40Z
dc.date.issued2013-08-19en_US
dc.description.abstractTwo interacting particle systems that serve as probabilistic models for population dynamics are studied in this work. The quadratic contact process is a stochastic spatial model for a population in which each individual has two parents and the dynamics are governed by random birth and death rates and an offspring distribution kernel. Another population model, due to Bolker and Pacala, models competition of different species in a forest. In both cases, we are interested in proving the existence of nontrivial stationary distributions.en_US
dc.identifier.otherbibid: 8267365
dc.identifier.urihttps://hdl.handle.net/1813/34311
dc.language.isoen_USen_US
dc.subjectprobabilityen_US
dc.titleProbabilistic Models For Population Dynamicsen_US
dc.typedissertation or thesisen_US
thesis.degree.disciplineMathematics
thesis.degree.grantorCornell Universityen_US
thesis.degree.levelDoctor of Philosophy
thesis.degree.namePh. D., Mathematics

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