%0 Journal Article %A SHI Wanlin %T Moderate Deviation for the Rightmost Position in a Branching Brownian Motion %D 2021 %R 10.3969/j.issn.1001-4268.2021.01.004 %J CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS %P 37-46 %V 37 %N 1 %X

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.

%U http://aps.ecnu.edu.cn/EN/10.3969/j.issn.1001-4268.2021.01.004