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 coun...

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Bibliographic Details
Call Number:Libro Electrónico
Corporate Author: SpringerLink (Online service)
Other Authors: Guttmann, A. J. (Editor)
Format: Electronic eBook
Language:Inglés
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2009.
Edition:1st ed. 2009.
Series:Lecture Notes in Physics, 775
Subjects:
Mathematical physics.
Algorithms.
Numerical analysis.
Discrete mathematics.
System theory.
Chemometrics.
Mathematical Methods in Physics.
Numerical Analysis.
Discrete Mathematics.
Complex Systems.
Mathematical Applications in Chemistry.
Online Access:Texto Completo
Table of Contents:
  • 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.

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