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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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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:
DateEvent
2001Published
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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