Generalized Self Intersection Local Time for a Superprocess over a Stochastic Flow

Details Generalized Self Intersection Local Time for a Superprocess over a Stochastic Flow Generalized Self Intersection Local Time for a Superprocess over a Stochastic Flow

2011-02-14

arxiv.org/abs/1102.2849v1

Mathematics

Probability

53 Pages. This paper has been accepted for publishing in the "Annals of Probability", but has not yet appeared

Scientific paper

This paper examines the existence of the self-intersection local time for a superprocess over a stochastic flow in dimensions $d\leq 3$, which through constructive methods, results in 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.

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