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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). ISSN 1083-6489

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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:

Date	Event
2001	Published

Volume:

Vol.6

Number:

No.21

Number of Pages:

Status:

Peer Reviewed

Publication Status:

Published

Access rights to Published version:

Open Access

References:

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