Some quenched and annealed limit theorems of superprocesses in random environments

Zeteng Fan, Jieliang Hong, Jie Xiong

Let $X=(X_t,t\ge 0)$ be a superprocess in a random environment described by a Gaussian noise $W=\{W(t,x),t\ge 0,x\in {\mathbb{R}}^d\}$ white in time and colored in space with co…