Tail probability of the hitting time of Brownian motion to a sphere with fixed hitting sites

We consider \(d\)-dimensional Brownian motion \(\{B_\mu(t)\}_{t\geqq0}\) with a drift \(\mu\in\mathbb{R}^d\) and the first hitting time \(\sigma_{r,\mu}^{(d)}\) to the sphere with radius \(r\) centered at the origin. This article deals with asymptotic behavior of the probability that both \(t\lt\sig...

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Bibliographic Details
Main Author: Yuji Hamana
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2025-07-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol45/4/art/opuscula_math_4522.pdf
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