Brownian motion and the parabolicity of minimal graphs

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dc.creatorNeel, Robert W.
dc.date2008-10-03
dc.date.accessioned2026-07-07T10:07:30Z
dc.date.available2026-07-07T10:07:30Z
dc.descriptionWe prove that minimal graphs (other than planes) are parabolic in the sense that any bounded harmonic function is determined by its boundary values. The proof relies on using the coupling introduced in the author's earlier paper "A martingale approach to minimal surfaces" to show that Brownian motion on such a minimal graph almost surely strikes the boundary in finite time.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0810.0669
dc.identifierhttp://arxiv.org/abs/0810.0669
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170658
dc.subjectDifferential Geometry
dc.subjectProbability
dc.subject53A10 (Primary) 58J65, 60H30 (Secondary)
dc.titleBrownian motion and the parabolicity of minimal graphs
dc.typetext

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