A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents
Probability
2024-11-25 v1
Abstract
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 the intersection exponents for 3D Brownian motion are analytic.
Keywords
Cite
@article{arxiv.2411.14921,
title = {A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents},
author = {Yifan Gao and Xinyi Li and Yifan Li and Runsheng Liu and Xiangyi Liu},
journal= {arXiv preprint arXiv:2411.14921},
year = {2024}
}
Comments
49 pages, 5 figures