A unified approach to the large deviations for small perturbations of random evolution equations

被引:0
作者
胡亦钧
机构
[1] Wuhan 430072
[2] Wuhan University
[3] Department of Mathematics
[4] China
基金
中国国家自然科学基金;
关键词
large deviations; random evolution equations; small perturbations;
D O I
暂无
中图分类号
O242 [数学模拟、近似计算];
学科分类号
070102 ;
摘要
Let be the processes governed by the following stochastic differential equations:where v (t) is a random process independent of the Brownian motion B(·).Some large deviation (LD) properties of are proved.For a particular case,an explicit representation of the rate function is also given,which solves a problem posed by Eizenberg and Freidlin.In the meantime,an abstract LD theorem is obtained.
引用
收藏
页码:697 / 706
页数:10
相关论文
共 1 条
[1]  
Bezuidenhout,C.A Large deviation principle for small perturbations of random evolution equations, Ann. Probab . 1987