Item description for Random Knotting and Linking (Series on Knots and Everything, Vol 7) by Kenneth C. Millett, De Witt L. Sumners, Robert Bernasconi, Laura Hartman Maestro, Arthur Miller, James Farentino, Lori Barker & Scott Silsby...
This volume includes both 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 and statistical mechanics to theoretical chemistry and wet-lab molecular biology.
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 0.75" Width: 6.5" Height: 9" Weight: 0.95 lbs.
Release Date Dec 1, 1994
Publisher World Scientific Publishing Company
ISBN 9810220057 ISBN13 9789810220051
Availability 0 units.
More About Kenneth C. Millett, De Witt L. Sumners, Robert Bernasconi, Laura Hartman Maestro, Arthur Miller, James Farentino, Lori Barker & Scott Silsby