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

Published 22 Nov 2024 in math.PR | (2411.14921v1)

Abstract: 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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