论文标题
抛物线模型的空间平均值的汇合，由彩色噪声驱动
Convergence of densities of spatial averages of the parabolic Anderson model driven by colored noise
论文作者
论文摘要
在本文中，我们提出了统一规范中的收敛速率，该溶液的空间平均值是由高斯乘法噪声驱动的D维抛物线的Anderson模型，该模型的时间为白色，并具有由Riesz kernel给出的空间协方差。该证明是基于Malliavin微积分技术和Stein的正常近似方法的组合。
In this paper, we present a rate of convergence in the uniform norm for the densities of spatial averages of the solution to the d-dimensional parabolic Anderson model driven by a Gaussian multiplicative noise, which is white in time and has a spatial covariance given by the Riesz kernel. The proof is based on the combination of Malliavin calculus techniques and the Stein's method for normal approximations.
