SOME LARGE-DEVIATION THEOREMS FOR BRANCHING DIFFUSIONS

• 成果类型: Article
• 署名作者: LEE, TY
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989692
• 发表日期: 1992
• 页码: 1288-1309
• 关键词: equations; pde

摘要

A branching diffusion process is studied when its diffusivity decreases to 0 at the rate of E much less than 1 and its branching/transmutation intensity increases at the rate of epsilon--1. We derive the action functionals which describe some large deviations of the processes as epsilon tends to 0. The branching diffusion processes are closely related to systems of semilinear parabolic differential equations.