Heuser, Aaron, 1978-2010-12-032010-12-032010-06https://hdl.handle.net/1794/10870x, 110 p. : ill. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.This dissertation examines the existence of the self-intersection local time for a superprocess over a stochastic flow in dimensions d ≤ 3, which through constructive methods, gives a Tanaka like representation. The superprocess over a stochastic flow is a superprocess with dependent spatial motion, and thus Dynkin's proof of existence, which requires multiplicity of the log-Laplace functional, no longer applies. Skoulakis and Adler's method of calculating moments is extended to higher moments, from which existence follows.en-USSelf-intersectionTanaka representationSuperprocessStochastic flowMathematicsTheoretical mathematicsThesis