Probability Seminar——One-point function estimates and natural parametrization for loop-erased random walk in three dimensions
报告人：Xinyi Li（University of Chicago, USA）
地点：Room 1418, Sciences Building No. 1
Abstract: In this talk, I will talk about loop-erased random walk (LERW) in three dimensions. I will
first give an asymptotic estimate on the probability that 3D LERW passes a given point (commonly
referred to as the one-point function). I will then talk about how to apply this estimate to show that 3D
LERW as a curve converges to its scaling limit in natural parametrization. If time permits, I will also talk
about the asymptotics of non-intersection probabilities of 3D LERW with simple random walk. This is a joint work with Daisuke Shiraishi (Kyoto).