Title: Weak universalities for some singular stochastic PDEs
报告题目(Title):Title: Weak universalities for some singular stochastic PDEs
报告人(Speaker):许惟钧(北京大学)
地点(Place):电子楼105
时间(Time):11月16日下午2:30-3:30
邀请人(Inviter):Calvin Khor, 许孝精
报告摘要
Some singular stochastic PDEs are expected to be universal objects that govern a wide range of microscopic models in different universality classes. Unfortunately, some interesting ones among them are "wrong" in the sense that they involve products of distributions. Hence the correct interpretation of their solutions require suitable renormalisations, which involve changing the original equations by infinite quantities. I will use KPZ and \Phi^4_3 as examples to explain the meanings of these infinities, and demonstrate how the "modifield equations" arise naturally as scaling limits for a large class of microscopic models.