Polygons, Polyominoes and Polycubes

This unique book gives a comprehensive account of new mathematical tools used to solve polygon problems. In the 20th and 21st centuries, many problems in mathematics, theoretical physics and theoretical chemistry and more recently in molecular biology and bio-informatics can be expressed as counting...

תיאור מלא

שמור ב:
מידע ביבליוגרפי
מחבר ראשי: Guttmann, Anthony J.
פורמט: Livre numérique
שפה:Anglais
יצא לאור: Dordrecht : Springer Netherlands [20..].
Cham : Springer Nature
מהדורה:1st ed. 2009.
סדרה:Lecture Notes in Physics 775
נושאים:
גישה מקוונת:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
הערה: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Polygons, polyominoes and polycubes, Anthony J. Guttman[n] (ed.), 2009, Dordrecht, Springer, Canopus Academic Pub., 1 vol. (XIX-490 p.), Lecture notes in physics, 978-1-402-09926-7
תוכן הענינים:
  • History and Introduction to Polygon Models and Polyominoes Lattice Polygons and Related Objects Exactly Solved Models Why Are So Many Problems Unsolved? The Anisotropic Generating Function of Self-Avoiding Polygons is not D-Finite Polygons and the Lace Expansion Exact Enumerations Series Analysis Monte Carlo Methods for Lattice Polygons Effect of Confinement: Polygons in Strips, Slabs and Rectangles Limit Distributions and Scaling Functions Interacting Lattice Polygons Fully Packed Loop Models on Finite Geometries Conformal Field Theory Applied to Loop Models Stochastic Lowner Evolution and the Scaling Limit of Critical Models Appendix: Series Data and Growth Constant, Amplitude and Exponent Estimates