Moment inequalities for equilibrium measures in the plane

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dc.creatorBaernstein II, A.
dc.creatorLaugesen, R. S.
dc.creatorPritsker, I. E.
dc.date2007-02-15
dc.date.accessioned2026-07-07T07:47:05Z
dc.date.available2026-07-07T07:47:05Z
dc.descriptionThe equilibrium measure of a compact plane set gives the steady state distribution of charges on the conductor. We show that certain moments of this equilibrium measure, when taken about the electrostatic centroid and depending only on the real coordinate, are extremal for an interval centered at the origin. This has consequences for means of zeros of polynomials, and for means of critical points of Green's functions. We also study moments depending on the distance from the centroid, such as the electrostatic moment of inertia.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0702456
dc.identifierhttp://arxiv.org/abs/math/0702456
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124046
dc.subjectComplex Variables
dc.subjectClassical Analysis and ODEs
dc.subject31A15
dc.titleMoment inequalities for equilibrium measures in the plane
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