Download the fantastic book titled Random Knotting and Linking written by K C Millett, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Random Knotting and Linking", which was released on 09 December 1994. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Science genre.
Summary of Random Knotting and Linking by K C Millett PDF
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. Contents:Graph Invariants and the Topology of RNA Folding (L H Kauffman & Y Magarshak)The Functoriality of Vassiliev-Type Invariants of Links, Braids, and Knotted Graphs (T Stanford)Knotting of Regular Polygons in 3-Space (K C Millett)An Elementary Invariant of Knots (R Randell)DNA Knot Formation in Aqueous Solutions (S Y Shaw & J C Wang)Energy Functions for Polygonal Knots (J K Simon)A Statistical Study of Random Knotting Using the Vassiliev Invariants (T Deguchi & K Tsurusaki)Random Knots and Energy: Elementary Considerations (G R Buck)Statistical Mechanics and Topology of Surfaces in Zd (E J Janse van Rensburg)Unsplittability of Random Links (Y A Diao)Twist Sequences and Vassiliev Invariants (R Trapp)Global Mutation of Knots (D Rolfsen)On Random Knots (Y A Diao et al.) Readership: Mathematicians and mathematical physicists. keywords:Knots;Links;Polygonal Knots;Invariants;DNA;RNA;Energy Functions;Statistical Knot Theory;Random Knots;Mutation;Statistical Mechanics;Topology of Surfaces
Detail About Random Knotting and Linking PDF
- Author : K C Millett
- Publisher : World Scientific
- Genre : Science
- Total Pages : 208 pages
- ISBN : 9814501425
- Release Date : 09 December 1994
- PDF File Size : 44,8 Mb
- Language : English
- Rating : 4/5 from 21 reviews
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