In these notes, we develop a path integral approach for the partial differential equations with random initial conditions. Then, we apply it to the dynamics of the spiked tensor model and show that the large-$N$ saddle point equations are dominated by the melonic type diagrams.

翻译：在这些注释中,我们为带有随机初始条件的局部差异方程式开发了一条路径整体方法。 然后,我们将其应用到加压的抗拉模型的动态中,并显示大-纳元马鞍点方程式以平滑型图为主。