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

Posted by Cheng Ouyang , part of the Statistics and Data Science Seminar.

At

Oct. 10, 2018, 4 p.m.

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636 SEO

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).