Overview

The physical properties of knotted and linked configurations in space have been of interest to physicists and mathematicians for a long time. More recently and more widely, they have become interesting to biological and computer scientists, and to engineers among others. The depth of importance and breadth of application are now widely appreciated. In this volume, there are several contributions from researchers who are using computers to study problems that would otherwise be untractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. From properties of knot invariants, to knot tabulation, studies of hyperbolic structures, knot energies, and to the exploration of spaces of knots, computers have opened the doors to problems that would have otherwise been too difficult to do by hand computation. There are also contributions concentrating on models that researchers use to understand knotting, linking, and entanglement in physical and biological systems. Topics range from knotted umbilical cords, to studies of DNA knots and knots in proteins.

Full Product Details

Author:   Jorge Alberto Calvo (Ave Maria Univ, Usa) ,  Kenneth C Millett (Univ Of California, Usa) ,  Eric J Rawdon (Univ Of St Thomas, Usa) ,  Andrzej Stasiak (Univ De Lausanne, Switzerland)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   36
Dimensions:   Width: 16.40cm , Height: 3.00cm , Length: 23.70cm
Weight:   1.061kg
ISBN:  

9789812561879

ISBN 10:   9812561870
Pages:   628
Publication Date:   21 September 2005
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Physical Knot Theory: Universal Energy Spectrum of Tight Knots and Links in Physics (R Buniy & T Kephart); Three Knotty Ideas in Geometry: Pearl-Number, Ropelength and Rope Packing (R Kusner & W Kusner); A Tutorial on Knot Energies (E J J van Rensburg); Knot Theory in the Life Sciences: Folding Complexity in a Random-Walk Copolymer Model (G Arteca); Protein Folds, Knots and Tangles (W Taylor); Monte Carlo Simulations of Gel-Electrophoresis of DNA Knots (C Weber et al.); Computational Knot Theory: Ropelength of Tight Polygonal Knots (J Baranska et al.); Topological Entropic Force Between a Pair of Random Knots Forming a Fixed Link (T Deguchi); Universal Characteristics of Polygonal Knot Probabilities (K Millett & E Rawdon); Geometric Knot Theory: Quadrisecants of Knots with Small Crossing Number (G T Jin); Minimal Flat Knotted Ribbons (L Kauffman); Conjectures on the Enumeration of Alternating Links (P Zinn-Justin); and other papers.

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