Date of Award

5-2014

Degree Type

Dissertation

Degree Name

Doctor of Philosophy

Major

Mathematics

Major Professor

Jie Xiong

Committee Members

Xia Chen, Seddik Djouadi, Jan Rosinski

Abstract

We establish the large and moderate deviation principles for a class of stochastic partial differential equations with a non-Lipschitz continuous coefficient. As an application we derive these principles for an important population model, Fleming-Viot Process. In addition, we establish the moderate deviation principle for another classical population model, super-Brownian motion.

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Probability Commons

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