Generalized self-intersection local time for a superprocess over a stochastic flow
by Heuser, Aaron, Ph.D., UNIVERSITY OF OREGON, 2010, 110 pages; 3420426

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.

 
AdvisersHao Wang; David Levin
SchoolUNIVERSITY OF OREGON
SourceDAI/B 71-09, p. , Sep 2010
Source TypeDissertation
SubjectsMathematics; Theoretical mathematics
Publication Number3420426
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