Eric Rawdon's Preprint and Publications Page

Below are pdf versions of most of my papers. If you would like to have a copy in some other format, please email me at ejrawdon [at] stthomas.edu I'm fairly certain that everything in these matches the published versions but I can't guarantee anything. This page is autogenerated by a dandy little perl script that I wrote. If you want it, let me know.

Preprints and Submitted Manuscripts

• Error analysis of the Minimum Distance Energy of a polygonal knot and the Moebius Energy of an approximating curve
  Eric J. Rawdon and Joseph Worthington
  Submitted, 2005.
  
  
• Self-contacts sets for 50 tightly knotted and linked tubes
  Ted Ashton, Jason Cantarella, Michael Piatek, and Eric Rawdon
  mat.DG/0508248, 2005.
  Also see the web version of the contact sets.
  
  
• Flat knots tied with monofilament suture convert to a sliding conformation when snugly secured
  Daniel A. Davis, Donna M. Pellowski, Mark S. King, Eric J. Rawdon, Jamie D. Daniel, and Kent C. Westbrook
  In preparation.
  
  

Published Papers

• Scaling behavior and equilibrium lengths of knotted polymers
  Eric J. Rawdon, Akos Dobay, John C. Kern, Kenneth C. Millett, Michael Piatek, Patrick Plunkett, and Andrzej Stasiak
  Macromolecules, 41(12): 4444-4451, 2008.
  
  
• Polygonal knot space near ropelength-minimized knots
  Kenneth C. Millett, Michael Piatek, and Eric J. Rawdon
  J. Knot Theory Ramifications, 17(5): 601-631, 2008.
  
  
• Total Curvature and Total Torsion of Knotted Polymers
  Patrick Plunkett, Michael Piatek, John C. Kern, Kenneth C. Millett, Andrzej Stasiak, and Eric J. Rawdon
  Macromolecules, 40(10): 3860-3867, 2007.
  
  
• Polygonal approximation and energy of smooth knots
  Eric J. Rawdon and Jonathan K. Simon
  J. Knot Theory Ramifications, 15(4): 429-451, 2006.
  
  
• Visualizing the tightening of knots
  Jason Cantarella, Michael Piatek, and Eric Rawdon
  In VIS'05: Proceedings of the 16th IEEE Visualization 2005
  pages 575-582, Washington, DC, 2005. IEEE Computer Society.
  
  
• Universal characteristics of polygonal knot probabilities
  Kenneth C. Millett and Eric J. Rawdon
  In Jorge Alberto Calvo, Kenneth C. Millett, Eric J. Rawdon, and Andrzej Stasiak, editors
  Physical and Numerical Models in Knot Theory
  volume 36 of Ser. Knots Everything, pages 247-274, River Edge, NJ, 2005. World Sci. Publishing.
  
  
• Ropelength of tight polygonal knots
  Justyna Baranska, Piotr Pieranski, and Eric J. Rawdon
  In Jorge Alberto Calvo, Kenneth C. Millett, Eric J. Rawdon, and Andrzej Stasiak, editors
  Physical and Numerical Models in Knot Theory
  volume 36 of Ser. Knots Everything, pages 293-321, River Edge, NJ, 2005. World Sci. Publishing.
  
  
• Length of the tightest trefoil knot
  Justyna Baranska, Piotr Pieranski, Sylwester Przybyl, and Eric J. Rawdon
  Phys. Rev. E, 70(5): 051810, 2004.
  Also cross-listed in the Virtual Journal of Biological Physics Research in the December 1, 2004 issue (volume 8, issue 11).
  
  
• Role of flexibility in entanglement
  Gregory Buck and Eric J. Rawdon
  Phys. Rev. E, 70(1): 011803, 2004.
  
  
• Can computers discover ideal knots?
  Eric J. Rawdon
  Experiment. Math., 12(3): 287-302, 2003.
  
  
• Energy, ropelength, and other physical aspects of equilateral knots
  Kenneth C. Millett and Eric J. Rawdon
  J. Comput. Phys., 186(2): 426-456, 2003.
  
  
• Upper bounds for equilateral stick numbers
  Eric J. Rawdon and Robert G. Scharein
  In Jorge Alberto Calvo, Kenneth C. Millett, and Eric J. Rawdon, editors
  Physical knots: knotting, linking, and folding geometric objects in R^3 (Las Vegas, NV, 2001)
  volume 304 of Contemp. Math., pages 55-75, Providence, RI, 2002. Amer. Math. Soc..
  
  
• Moebius energy of thick knots
  Eric J. Rawdon and Jonathan Simon
  Topology Appl., 125(1): 97-109, 2002.
  
  
• Approximating smooth thickness
  Eric J. Rawdon
  J. Knot Theory Ramifications, 9(1): 113-145, 2000.
  
  
• Thickness of knots
  R. A. Litherland, J. Simon, O. Durumeric, and E. Rawdon
  Topology Appl., 91(3): 233-244, 1999.
  
  
• Approximating the thickness of a knot
  Eric J. Rawdon
  In A. Stasiak, V. Katritch, and L. H. Kauffman, editors
  Ideal knots
  volume 19 of Ser. Knots Everything, pages 143-150, River Edge, NJ, 1998. World Sci. Publishing.
  
  
• Thickness of polygonal knots
  Eric J. Rawdon
  University of Iowa, 1997.