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math.PR2021
On mean-field super-Brownian motions
Yaozhong Hu, Michael A. Kouritzin, Panqiu Xia +1
The mean-field stochastic partial differential equation (SPDE) corresponding to a mean-field super-Brownian motion (sBm) is obtained and studied. In this mean-field sBm, the branch…
math.PR2021★ 10 cited
Quantitative central limit theorems for the parabolic Anderson model driven by colored noises
David Nualart, Panqiu Xia, Guangqu Zheng
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 time and space. We…