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arxiv: 2411.14921 · v1 · pith:ANJSPL6L · submitted 2024-11-22 · math.PR

A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents

Yifan Gao , Xinyi Li , Yifan Li , Runsheng Liu , Xiangyi Liu This is my paper

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classification math.PR
keywords brownianboundaryexponentsharnackintersectionmotionprinciplealmost
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We show that a domain in $\mathbb{R}^3$ 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.

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