Minimizing the mass of the codimension-two skeleton of a convex, volume-one polyhedral region

Simple item page
dc.contributor.advisorHardt, Robert M.en_US
dc.creatorScott, Ryan Christopheren_US
dc.date.accessioned2013-03-08T00:38:44Zen_US
dc.date.available2013-03-08T00:38:44Zen_US
dc.date.issued2011en_US
dc.description.abstractIn this paper we establish the existence and partial regularity of a (d-2)-dimensional edge-length minimizing polyhedron in [Special characters omitted.] . The minimizer is a generalized convex polytope of volume one which is the limit of a minimizing sequence of polytopes converging in the Hausdorff metric. We show that the (d-2)-dimensional edge-length ζ d -2 is lower-semicontinuous under this sequential convergence. Here the edge set of the limit generalized polytope is a closed subset of the boundary whose complement in the boundary consists of countably many relatively open planar regions.en_US
dc.format.extent93 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH. 2011 SCOTTen_US
dc.identifier.citationScott, Ryan Christopher. "Minimizing the mass of the codimension-two skeleton of a convex, volume-one polyhedral region." (2011) Diss., Rice University. <a href="https://hdl.handle.net/1911/70436">https://hdl.handle.net/1911/70436</a>.en_US
dc.identifier.digitalScottRen_US
dc.identifier.urihttps://hdl.handle.net/1911/70436en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectPure sciencesen_US
dc.subjectPolyhedraen_US
dc.subjectConvex polytopesen_US
dc.subjectBounded variationen_US
dc.subjectMathematicsen_US
dc.titleMinimizing the mass of the codimension-two skeleton of a convex, volume-one polyhedral regionen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
ScottR.pdf
Size:
1.85 MB
Format:
Adobe Portable Document Format
Download
Collections
Rice University Theses and Dissertations