摘要: We consider directed polymers in random environment in the critical dimension  d=2 , focusing on the intermediate disorder regime when the model undergoes a phase transition. We prove that, at criticality, the diffusively rescaled random field of partition functions has a unique scaling limit: a universal process of random measures on R^2 with logarithmic correlations, which we call the Critical 2d Stochastic Heat Flow. It is the natural candidate for the long sought solution of the critical 2d Stochastic Heat Equation with multiplicative space-time white noise.

报告人简介：Rongfeng Sun（孙嵘枫） obtained his PhD from Courant Institute, New York University, in 2004. He was postdoctoral researcher at Eurandom, TU Eindhoven from 2004-2006, and at TU Berlin from 2006-2008. He has been at the National University of Singapore since 2008 and is now a full professor there. He is currently an associate editor at Electronic Communications in Probability/Electronic Journal of Probability.