On the shape of the ground state eigenfunction for stable processes

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dc.creatorBanuelos, Rodrigo
dc.creatorKulczycki, Tadeusz
dc.creatorMendez-Hernandez, Pedro J.
dc.date2004-07-15
dc.date.accessioned2026-07-07T05:10:20Z
dc.date.available2026-07-07T05:10:20Z
dc.descriptionWe prove that the ground state eigenfunction for symmetric stable processes of order $α\in (0, 2)$ 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.
dc.identifierhttps://arxiv.org/abs/math/0407260
dc.identifierhttp://arxiv.org/abs/math/0407260
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71898
dc.subjectProbability
dc.titleOn the shape of the ground state eigenfunction for stable processes
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