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Topic:One-point Function Estimates and Natural Parametrization for Loop-erased Random Walk in Three Dimensions
Date:10/01/2019
Time:11:00 am - 12:00 pm
Venue:Lady Shaw Building, Room LT2
Category:Seminars
Speaker:Dr. Xinyi Li
PDF:20190110_LI.pdf
Details:

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).