Periodic homogenisation for two dimensional generalised parabolic Anderson model
报告人:陈弈霖 (英国威廉希尔公司)
时间:2024-03-04 16:00-17:00
地点:智华楼四元厅
Abstract: We consider the periodic homogenisation problem for the generalised parabolic Anderson model in the two dimensional torus. We prove that homogenisation and renormalisation procedures commute in this problem. The key point is to find a suitable ansatz to build up uniform regularity estimates for solutions with respect to homogenisation and renormalisation parameters. This talk is based on joint work with Benjamin Fehrman and Weijun Xu.