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dc.contributor.advisorShiffman, Bernarden_US
dc.contributor.authorKarami, Arashen_US
dc.date.accessioned2015-09-16T03:37:21Z
dc.date.available2015-09-16T03:37:21Z
dc.date.created2014-08en_US
dc.date.issued2014-07-01en_US
dc.date.submittedAugust 2014en_US
dc.identifier.urihttp://jhir.library.jhu.edu/handle/1774.2/37945
dc.description.abstractFor a strictly pseudoconvex Reinhardt domain Ω with smooth boundary in C m+1 and a positive smooth measure µ on the boundary of Ω , we consider the ensemble PN of polynomials of degree N with the Gaussian probability measure γN which is induced by L 2 (∂Ω, dµ). Our aim is to compute the scaling limit distribution function and scaling limit pair correlation function for zeros near a point z ∈ ∂Ω. First, we apply the stationary phase method to the Boutet de Monvel-Sj¨ostrand Theorem to get the asymptotic for the scaling limit partial Szeg¨o kernel around z ∈ ∂Ω. Then by using the Kac-Rice formula, we compute the scaling limit distribution and pair correlation functions.en_US
dc.format.mimetypeapplication/pdfen_US
dc.languageen
dc.publisherJohns Hopkins University
dc.subjectReinhardt domainen_US
dc.subjectSzeg¨o kernelen_US
dc.titleZeros of Random Reinhardt Polynomialsen_US
dc.typeThesisen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorJohns Hopkins Universityen_US
thesis.degree.grantorKrieger School of Arts and Sciencesen_US
thesis.degree.levelDoctoralen_US
thesis.degree.namePh.D.en_US
dc.type.materialtexten_US
thesis.degree.departmentMathematicsen_US
dc.contributor.committeeMemberSpruck, Joelen_US
dc.contributor.committeeMemberPingali, Vamsien_US
dc.contributor.committeeMemberKhan, M. Alien_US
dc.contributor.committeeMemberYarkony, David R.en_US


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