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Randomized integer convex hull

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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202102124020
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DC ElementWertSprache
dc.contributor.advisorProf. Dr. Matthias Reitznerger
dc.creatorHong Ngoc, Binh-
dc.date.accessioned2021-02-12T12:22:24Z-
dc.date.available2021-02-12T12:22:24Z-
dc.date.issued2021-02-12T12:22:25Z-
dc.identifier.urihttps://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202102124020-
dc.description.abstractThe thesis deals with stochastic and algebraic aspects of the integer convex hull. In the first part, the intrinsic volumes of the randomized integer convex hull are investigated. In particular, we obtained an exact asymptotic order of the expected intrinsic volumes difference in a smooth convex body and a tight inequality for the expected mean width difference. In the algebraic part, an exact formula for the Bhattacharya function of complete primary monomial ideas in two variables is given. As a consequence, we derive an effective characterization for complete monomial ideals in two variables.eng
dc.rightsAttribution-NonCommercial-ShareAlike 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/*
dc.subjectlattice polytopeseng
dc.subjectlattice-freeeng
dc.subjectintrinsic volumeseng
dc.subjectmixed multiplicitieseng
dc.subjectBhattacharya functioneng
dc.subjectNewton polyhedroneng
dc.subjectcomplete monomial idealseng
dc.subjectmean widtheng
dc.subjectrandom latticeseng
dc.subjectinteger convex hulleng
dc.subjectrandom polytopeseng
dc.subject.ddc510 - Mathematikger
dc.titleRandomized integer convex hulleng
dc.typeDissertation oder Habilitation [doctoralThesis]-
thesis.locationOsnabrück-
thesis.institutionUniversität-
thesis.typeDissertation [thesis.doctoral]-
thesis.date2021-01-08-
dc.contributor.refereeProf. Dr. Ngo Viet Trungger
dc.subject.bk31.70 - Wahrscheinlichkeitsrechnungger
dc.subject.bk31.23 - Ideale, Ringe, Moduln, Algebrenger
dc.subject.msc60D05 - Geometric probability, stochastic geometry, random setsger
dc.subject.msc13-02 - Research expositionger
Enthalten in den Sammlungen:FB06 - E-Dissertationen

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