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Hitting probability for Reflected Brownian Motion at Small Target

Fan, Yuchen
arXiv (All) · Papers
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60j45probability
We derive the asymptotic behavior of hitting probability at small target of size $O(ε)$ for reflected Brownian motion in domains with suitable smooth boundary conditions, where the boundary of domain contains both reflecting part, absorbing part and target. In this case the domain could be localized
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