Probability Distribution of Curvatures of Isosurfaces in Gaussian Random Fields

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dc.creatorMendonca, Paulo R. S.
dc.creatorBhotika, Rahul
dc.creatorMiller, James V.
dc.date2007-02-09
dc.date2007-05-15
dc.date.accessioned2026-07-07T08:01:32Z
dc.date.available2026-07-07T08:01:32Z
dc.descriptionAn expression for the joint probability distribution of the principal curvatures at an arbitrary point in the ensemble of isosurfaces defined on isotropic Gaussian random fields on Rn is derived. The result is obtained by deriving symmetry properties of the ensemble of second derivative matrices of isotropic Gaussian random fields akin to those of the Gaussian orthogonal ensemble.
dc.description10 pages, six references. Fuller version with correct proof of important theorem
dc.identifierhttps://arxiv.org/abs/math-ph/0702031
dc.identifierhttp://arxiv.org/abs/math-ph/0702031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128938
dc.subjectMathematical Physics
dc.subject60D05
dc.titleProbability Distribution of Curvatures of Isosurfaces in Gaussian Random Fields
dc.typetext

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