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...
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1994
|
| Schriftenreihe: | Series on knots and everything
v. 7 |
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | "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 |
| Beschreibung: | vii, 197 p. ill |
| ISBN: | 9789812796172 |
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| spelling | Random knotting and linking editors, K.C. Millett, D.W. Sumners Singapore World Scientific Pub. Co. c1994 vii, 197 p. ill txt rdacontent c rdamedia cr rdacarrier Series on knots and everything v. 7 "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 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 Knot theory / Congresses Link theory / Congresses Verschlingung (DE-588)4191540-9 gnd rswk-swf Knoten Mathematik (DE-588)4164314-8 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1993 Vancouver British Columbia gnd-content Knoten Mathematik (DE-588)4164314-8 s Verschlingung (DE-588)4191540-9 s 2\p DE-604 Millett, Kenneth C. Sonstige oth Sumners, De Witt L. Sonstige oth AMS Special Session on Random Knotting and Linking <1993, Vancouver, B.C.> Sonstige oth Erscheint auch als Druck-Ausgabe 9789810220051 Erscheint auch als Druck-Ausgabe 9810220057 http://www.worldscientific.com/worldscibooks/10.1142/2516#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Random knotting and linking Knot theory / Congresses Link theory / Congresses Verschlingung (DE-588)4191540-9 gnd Knoten Mathematik (DE-588)4164314-8 gnd |
| subject_GND | (DE-588)4191540-9 (DE-588)4164314-8 (DE-588)1071861417 |
| title | Random knotting and linking |
| title_auth | Random knotting and linking |
| title_exact_search | Random knotting and linking |
| title_full | Random knotting and linking editors, K.C. Millett, D.W. Sumners |
| title_fullStr | Random knotting and linking editors, K.C. Millett, D.W. Sumners |
| title_full_unstemmed | Random knotting and linking editors, K.C. Millett, D.W. Sumners |
| title_short | Random knotting and linking |
| title_sort | random knotting and linking |
| topic | Knot theory / Congresses Link theory / Congresses Verschlingung (DE-588)4191540-9 gnd Knoten Mathematik (DE-588)4164314-8 gnd |
| topic_facet | Knot theory / Congresses Link theory / Congresses Verschlingung Knoten Mathematik Konferenzschrift 1993 Vancouver British Columbia |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2516#t=toc |
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