The extremal process of super-Brownian motion

Yan-Xia Ren, Renming Song, Rui Zhang

In this paper, we establish limit theorems for the supremum of the support, denoted by $M_t$, of a supercritical super-Brownian motion $\{X_t,t\ge 0\}$ on $\mathbb{R}$. We prove th…