论文标题
高斯田地和随机热方程
Gaussian Fields and Stochastic Heat Equations
论文作者
论文摘要
本文的目的是将高斯自由场表征为具有添加剂时空白噪声的热方程的固定解决方案。在整个空间的情况下,研究导致了其他类型的高斯田地,以及一维尺寸的有趣现象。
The objective of the paper is to characterize the Gaussian free field as a stationary solution of the heat equation with additive space-time white noise. In the case of whole space, the investigation leads to other types of Gaussian fields, as well as interesting phenomena in dimensions one and two.