Generalized self-intersection local time for a superprocess over a stochastic flow

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Title: Generalized self-intersection local time for a superprocess over a stochastic flow
Author: Heuser, Aaron, 1978-
Abstract: 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.
Description: x, 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.
URI: http://hdl.handle.net/1794/10870
Date: 2010-06


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