Quantitative central limit theorems for the parabolic Anderson model driven by colored noises
Quantitative central limit theorems for the parabolic Anderson model driven by colored noises
In this paper, we study the spatial averages of the solution to the parabolic Anderson model driven by a space-time Gaussian homogeneous noise that is colored in both time and space. We establish quantitative central limit theorems (CLT) of this spatial statistics under some mild assumptions, by using the Malliavin-Stein …