Random knotting and linking
This volume includes both rigorous asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths. The statistical mechanics and topology of surfaces on the d-dimensional simple cubic lattice are investigated. The energy of kn...
| Corporate Authors: | , |
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| Other Authors: | , |
| Format: | Electronic Conference Proceeding Book |
| Language: | English |
| Published: |
Singapore ; River Edge, N.J. :
World Scientific Pub. Co.,
c1994
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| Series: | K & E series on knots and everything ;
v. 7 |
| Subjects: |
| Summary: | This volume includes both rigorous asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths. The statistical mechanics and topology of surfaces on the d-dimensional simple cubic lattice are investigated. The energy of knots is studied both analytically and numerically. Vassiliev invariants are investigated and used in random knot simulations. A mutation scheme which leaves the Jones polynomial unaltered is described. Applications include the investigation of RNA secondary structure using Vassiliev invariants, and the direct experimental measurement of DNA knot probability as a function of salt concentration in random cyclization experiments on linear DNA molecules. The papers in this volume reflect the diversity of interest across science and mathematics in this subject, from topology to statistical mechanics to theoretical chemistry to wet-lab molecular biology |
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| Item Description: | "This volume contains papers presented at the AMS Special Session on Random Knotting and Linking, held at the International Joint Mathematics Meetings of the American Mathematical Society, Canadian Mathematical Society and the Mathematical Association of America in Vancouver, British Columbia, Canada, August 15-19, 1993."--P. v |
| Physical Description: | vii, 197 p. : ill |
| Bibliography: | Includes bibliographical references |
| ISBN: | 9789812796172 9812796177 (electronic bk.) |