Showing 2024Show all
2 papers · 1 filter
math.PR2024
A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents
Yifan Gao, Xinyi Li, Yifan Li +2
We show that a domain in with the trace of a 3D Brownian motion removed almost surely satisfies the boundary Harnack principle (BHP). Then, we use it to prove that t…
math.PR2024
Sharp one-point estimates and Minkowski content for the scaling limit of three-dimensional loop-erased random walk
Sarai Hernandez-Torres, Xinyi Li, Daisuke Shiraishi
In this work, we consider the scaling limit of loop-erased random walk (LERW) in three dimensions and prove that the limiting occupation measure is equivalent to its -dimensiona…