Abstract:
We consider the periodic homogenisation problem for dynamical \phi^4_2, a toy model that combines both renormalisation in singular SPDEs and homogenisation in a single problem. We show that in this situation, the two limiting procedure commute. Some progress on more singular/subtle models will also be discussed. Joint work with Yilin Chen (Peking University).
Biography:
Weijun Xu is an assistant professor in mathematics at Beijing International Center for Mathematical Research, Peking Univesity. Prior to joining BICMR, he obtained Ph.D. from Oxford, and held postdoc positions at Warwick and Oxford. He has a broad interest in analysis and probability. Specifically, he has been working on rough paths and stochastic analysis, and more recently, on singular stochastic PDEs.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai