Error Bounds Between the Minimum Distance Energy of an Equilateral Knot and the Mobius Energy of an Inscribed Smooth Knot

This thesis explores mathematical knots and energy functions defined for them. Specifically, we explore the question of whether or not the Minimum Distance Energy of an equilateral knot is close to the Mobius Energy of a smooth knot where the smooth knot is inscribed in the equilateral knot in a specific way.

Name thesis:degree_name

MS

Level thesis:degree_level

Immediate Access

Discipline thesis:degree_discipline

Computational Mathematics

Year dc:date.available

2005

Author dc:creator

• Worthington, Joseph

Contributors dc:contributor

• Eric Rawdon
• Kathleen Taylor
• Stacey Levine

• Energy Functions
• Knot Energies
• Knot Theory
• Topology

Language dc:language

English

Repository record dc:identifier

https://dsc.duq.edu/etd/1382

OAI identifier oai:identifier

oai:dsc.duq.edu:etd-2398