Persistence and local extinction for superprocesses in random environments

Zhen-Qing Chen, Yan-Xia Ren, Guohuan Zhao

We consider a super-Brownian motion $\{X_t,t\ge 0\}$ in a random environment described by a centered Gaussian field $\{W(t,x),t\ge 0,x\in {\mathbb{R}}^d\}$ whose correlation funct…