Abstract:
In this talk, I will talk about some recent progress on loop-erased random walk (LERW), a model that plays a central role in statistic physics. I will focus on the case of three dimensions and talk about its convergence in natural parametrization to its scaling limit. This is joint work with Daisuke Shiraishi (Kyoto).
Biography:
Xinyi Li is an assistant professor at Beijing International Center for Mathematical Research, Peking University. He received his PhD degree in mathematics from ETH Zurich. Prior to joining Peking University he was an L. E. Dickson instructor at the University of Chicago. He is mainly interested in probability theory and its connections with statistical physics.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai