论文标题
关于一维KPZ方程的两点函数
On the two-point function of the one-dimensional KPZ equation
论文作者
论文摘要
在此简短的交流中，我们表明，可以应用来自Malliavin演算的基本工具来得出一维KPZ方程的斜率的两点函数，从与随机热方程相关的聚合物终点分布开始，从任意的两侧布朗尼运动开始。我们还证明，此分布是根据KPZ方程解方差的导数给出的。
In this short communication we show that basic tools from Malliavin calculus can be applied to derive the two-point function of the slope of the one-dimensional KPZ equation, starting from an arbitrary two-sided Brownian motion, in terms of the polymer end-point annealed distribution associated to the stochastic heat equation. We also prove that this distribution is given in terms of the derivative of the variance of the solution of the KPZ equation.
