Random Knotting And Linking
eBook - PDF

Random Knotting And Linking

  1. 208 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Random Knotting And Linking

About this book

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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Yes, you can access Random Knotting And Linking by Kenneth C Millett, D W Sumners in PDF and/or ePUB format, as well as other popular books in Biological Sciences & Science General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. CONTENTS
  2. Foreword
  3. GRAPH INVARIANTS AND THE TOPOLOGY OF RNA FOLDING
  4. THE FUNCTORIALITY OF VASSILIEV-TYPE INVARIANTS OF LINKS, BRAIDS, AND KNOTTED GRAPHS
  5. KNOTTING OF REGULAR POLYGONS IN 3-SPACE
  6. AN ELEMENTARY INVARIANT OF KNOTS
  7. DNA KNOT FORMATION IN AQUEOUS SOLUTIONS
  8. ENERGY FUNCTIONS FOR POLYGONAL KNOTS
  9. A Statistical Study of Random Knotting Using the Vassiliev Invariants
  10. RANDOM KNOTS AND ENERGY: ELEMENTARY CONSIDERATIONS
  11. STATISTICAL MECHANICS AND TOPOLOGY OF SURFACES IN Zd
  12. UNSPLITTABILITY OF RANDOM LINKS
  13. TWIST SEQUENCES AND VASSILIEV INVARIANTS
  14. GLOBAL MUTATION OF KNOTS
  15. ON RANDOM KNOTS