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Small diffusion and fast dying out asymptotics for superprocesses as non-Hamiltonian quasiclassics for evolution equations
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Kolokoltsov, V. N. (Vasiliĭ Nikitich) (2001) Small diffusion and fast dying out asymptotics for superprocesses as non-Hamiltonian quasiclassics for evolution equations. Electronic Journal of Probability, Vol.6 (No.21).
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Official URL: http://www.emis.de/journals/EJP-ECP/EjpVol6/paper2...
Abstract
The small diffusion and fast dying out asymptotics is calculated for nonlinear evolution
equations of a class of superprocesses on manifolds, and the corresponding logarithmic limit
of the solution is shown to be given by a solution of a certain problem of calculus of variations
with a non-additive (and non-integral) functional.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Statistics | ||||
| Library of Congress Subject Headings (LCSH): | Diffusion processes, Manifolds (Mathematics), Asymptotic distribution (Probability theory) | ||||
| Journal or Publication Title: | Electronic Journal of Probability | ||||
| Publisher: | Institute of Mathematical Statistics | ||||
| ISSN: | 1083-6489 | ||||
| Official Date: | 2001 | ||||
| Dates: |
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| Volume: | Vol.6 | ||||
| Number: | No.21 | ||||
| Number of Pages: | 16 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Open Access |
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