dc.contributor.author |
Heuser, Aaron, 1978- |
|
dc.date.accessioned |
2010-12-03T22:34:13Z |
|
dc.date.available |
2010-12-03T22:34:13Z |
|
dc.date.issued |
2010-06 |
|
dc.identifier.uri |
http://hdl.handle.net/1794/10870 |
|
dc.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. |
en_US |
dc.description.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. |
en_US |
dc.description.sponsorship |
Committee in charge: Hao Wang, Co-Chairperson, Mathematics;
David Levin, Co-Chairperson, Mathematics;
Christopher Sinclair, Member, Mathematics;
Huaxin Lin, Member, Mathematics;
Van Kolpin, Outside Member, Economics |
en_US |
dc.language.iso |
en_US |
en_US |
dc.publisher |
University of Oregon |
en_US |
dc.relation.ispartofseries |
University of Oregon theses, Dept. of Mathematics, Ph. D., 2010; |
|
dc.subject |
Self-intersection |
en_US |
dc.subject |
Tanaka representation |
en_US |
dc.subject |
Superprocess |
en_US |
dc.subject |
Stochastic flow |
en_US |
dc.subject |
Mathematics |
en_US |
dc.subject |
Theoretical mathematics |
en_US |
dc.title |
Generalized self-intersection local time for a superprocess over a stochastic flow |
en_US |
dc.type |
Thesis |
en_US |