A branching diffusion process is studied when its diffusivity decreases to 0 at the rate of $\varepsilon \ll 1$ and its branching/transmutation intensity increases at the rate of $\varepsilon^{-1}$. We derive the action functionals which describe some large deviations of the processes as $\varepsilon$ tends to 0. The branching diffusion processes are closely related to systems of semilinear parabolic differential equations.
Publié le : 1992-07-14
Classification:
Branching diffusion processes,
large deviations,
reaction-diffusion equations,
60F10,
60F60,
60F80,
35B25,
35K55
@article{1176989692,
author = {Lee, Tzong-Yow},
title = {Some Large-Deviation Theorems for Branching Diffusions},
journal = {Ann. Probab.},
volume = {20},
number = {4},
year = {1992},
pages = { 1288-1309},
language = {en},
url = {http://dml.mathdoc.fr/item/1176989692}
}
Lee, Tzong-Yow. Some Large-Deviation Theorems for Branching Diffusions. Ann. Probab., Tome 20 (1992) no. 4, pp. 1288-1309. http://gdmltest.u-ga.fr/item/1176989692/