Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Weijun Xu,BICMR/Peking University
Inviter:	范晨捷
Title:	Periodic homogenisation for some singular stochastic PDEs
Language:	Chinese
Time & Venue:	2024.03.05 10:00-11:00 思源楼S803
Abstract:	We consider the periodic homogenisation problem for some singular stochastic PDEs. These are natural models where two different singular limiting procedures interact -- homogenisation and renormalisation. We show that in two concrete models --- dynamical \Phi^4_2 model and two dimensional generalised parabolic Anderson model, the two limiting procedures commute. One of the challenges is to identify a suitable ansatz for the solution to the mixed problem. Based on joint works with Yilin Chen (PKU) and Ben Fehrman (LSU).