分枝布朗运动最右位置的中偏差

Moderate Deviation for the Rightmost Position in a Branching Brownian Motion

我们研究了分枝布朗运动最右粒子位置的中偏差概率,并且得到了中偏差函数.首先,Chauvin和Rouault考虑了分枝布朗运动最右位置的大偏差概率.最近,Derrida和Shi对同样的模型研究了其下偏差.相比之下,我们的结果更加广泛.

We study the moderate deviation probability of the position of the rightmost particle in a branching Brownian motion and obtain its moderate deviation function.Firstly,Chauvin and Rouault studied the large deviation probability for the rightmost position in a branching Brownian motion.Recently,Derrida and Shi considered lower deviation for the same model.By contrast,Our main result is more extensive.