Generalized self-intersection local time for a superprocess over a stochastic flow
| 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.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.identifier.uri | https://hdl.handle.net/1794/10870 | |
| 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 |
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