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

Author

Joseph Worthington

Defense Date

5-10-2005

Graduation Date

Summer 2005

Availability

Immediate Access

Submission Type

thesis

Degree Name

MS

Department

Computational Mathematics

School

McAnulty College and Graduate School of Liberal Arts

Committee Chair

Eric Rawdon

Committee Member

Kathleen Taylor

Committee Member

Stacey Levine

Keywords

Energy Functions, Knot Energies, Knot Theory, Topology

Abstract

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.

Format

PDF

Language

English

Recommended Citation

Worthington, J. (2005). Error Bounds Between the Minimum Distance Energy of an Equilateral Knot and the Mobius Energy of an Inscribed Smooth Knot (Master's thesis, Duquesne University). Retrieved from https://dsc.duq.edu/etd/1382