PDE/Analysis Seminar

Speaker: Yu Deng (University of Chicago) Title: the 4 dimensional Anderson model Abstract: We establish Gaussian scaling limit, for the (elliptic) Anderson model in 4 dimensions, with small coupling constant. This is a simplest example of a critical model in SPDEs, a theme which has been a major challenge of the field. Our theorem provides the first example where infinitely many renormalization constants are present and controlled. This is joint work with Hao Shen.