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Asymptotic behavior of the occupancy density for obliquely reflected Brownian motion in a half-plane and Martin boundary

By Philip Ernst and Sandro Franceschi
Let \pi be the occupancy density of an obliquely reflected Brownian motion in the half plane and let (\rho, \alpha) be the polar coordinates of a point in the upper half plane. This work determines the exact asymptotic behavior of \pi(\rho, \alpha) as \rho \rightarrow \infty with \alpha \in (0,... Show more
January 1, 2022
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Asymptotic behavior of the occupancy density for obliquely reflected Brownian motion in a half-plane and Martin boundary
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