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- W2029943462 abstract "We prove that the ground state eigenfunction for symmetric stable processes of order $alphain (0, 2)$ killed upon leaving the interval $(-1, 1)$ is concave on $(-{1/2}, {1/2})$. We call this property mid--concavity. A similar statement holds for rectangles in $R^d$, $d>1$. These result follow from similar results for finite dimensional distributions of Brownian motion and subordination." @default.
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- W2029943462 date "2004-07-15" @default.
- W2029943462 modified "2023-09-23" @default.
- W2029943462 title "On the shape of the ground state eigenfunction for stable processes" @default.
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