Show simple item record

dc.contributor.advisor Hardt, Robert M.
dc.creatorDunning, Ryan Patrick
dc.date.accessioned 2011-07-25T01:38:34Z
dc.date.available 2011-07-25T01:38:34Z
dc.date.issued 2009
dc.identifier.urihttps://hdl.handle.net/1911/61838
dc.description.abstract A knot energy is a real-valued function on a space of curves which in some sense assigns higher energy values to more complicated curves. The key property of any knot energy is self-repulsiveness: for a sequence of curves approaching a self-intersection, the energy blows up to infinity. While the study of optimally embedded curves as minimizers of energy among a given knot class has been well-documented, this thesis investigates the existence of optimally immersed self-intersecting curves. Because any self-intersecting curve will have infinite knot energy, parameter-dependent renormalizations of the energy remove the singular behavior of the curve. This process allows for the careful selection of an optimally immersed curve.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMathematics
dc.title Asymptotics under self-intersection for minimizers of self-avoiding energies
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Chemistry
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation Dunning, Ryan Patrick. "Asymptotics under self-intersection for minimizers of self-avoiding energies." (2009) Diss., Rice University. https://hdl.handle.net/1911/61838.


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record