Functional central limit theorems for spatial averages of the parabolic Anderson model with delta initial condition in dimension $d\ge 1$

Wanying Zhang, Yong Zhang, Jingyu Li

Let $\{u(t,x){\}}_{t>0,x\in {\mathbb{R}}^d}$ denote the solution to a $d$-dimensional parabolic Anderson model with delta initial condition and driven by a multiplicative noise tha…