## Statistics Seminar

Xinyi Li

University of Chicago

One-point function and natural parametrization for loop-erased random walk in three dimensions

**Abstract:**We consider loop-erased random walk (LERW) in three dimensions and give an asymptotic estimate on the one-point function for LERW and the non- intersection probability of LERW and simple random walk in three dimensions. Then we show that 3D LERW converges to its scaling limit in natural parametrization. This is a joint work in progress with Daisuke Shiraishi (Kyoto).

Wednesday October 10, 2018 at 4:00 PM in 636 SEO