Abstract: We prove a frequency-independent bound on trigonometric functions of a class of singular Gaussian random fields, which arise naturally from weak universality problems for singular stochastic PDEs. This enables us to reduce the regularity assumption on the nonlinearity of the microscopic models in KPZ and dynamical \Phi_3^4 of Hairer-Xu and Furlan-Gubinelli to that required by PDE structures. This talk is based on the joint work with Wenhao Zhao.

About the Speaker:

孔繁淏是皇冠新体育皇冠新体育二年级博士生，2021年本科毕业于皇冠新体育。研究方向为随机分析与随机偏微分方程，导师为许惟钧。