Random Knotting and Linking

by Millett, Kenneth C.; Sumners, De Witt L.; Millett, Kenneth C.; AMS Special Session on Random Knotting and Linking (1993 : Vancouver, B. C.)

• ISBN13: 9789810220051
• ISBN10: 9810220057
• Format: Hardcover
• Copyright: 1994-12-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

Papers presented at the AMS special session on Random Knotting and Linking, held August 15-19, 1993 in Vancouver, British Columbia.

Table of Contents

Foreword
Graph Invariants and the Topology of RNA Folding	p. 1
The Functoriality of Vassiliev-Type Invariants of Links, Braids, and Knotted Graphs	p. 15
Knotting of Regular Polygons in 3-Space	p. 31
An Elementary Invariant of Knots	p. 47
DNA Knot Formation in Aqueous Solutions	p. 55
Energy Functions for Polygonal Knots	p. 67
A Statistical Study of Random Knotting Using the Vassiliev Invariants	p. 89
Random Knots and Energy: Elementary Considerations	p. 123
Statistical Mechanics and Topology of Surfaces in Z[superscript d]	p. 133
Unsplittability of Random Links	p. 147
Twist Sequences and Vassiliev Invariants	p. 159
Global Mutation of Knots	p. 175
On Random Knots	p. 187
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