Volume 775 2009

Polygons, Polyominoes and Polycubes

Editors:

ISBN: 978-1-4020-9926-7 (Print) 978-1-4020-9927-4 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xix

  2. No Access

    Book Chapter

    Pages 1-21

    History and Introduction to Polygon Models and Polyominoes

  3. No Access

    Book Chapter

    Pages 23-41

    Lattice Polygons and Related Objects

  4. No Access

    Book Chapter

    Pages 43-78

    Exactly Solved Models

  5. No Access

    Book Chapter

    Pages 79-91

    Why Are So Many Problems Unsolved?

  6. No Access

    Book Chapter

    Pages 93-115

    The Anisotropic Generating Function of Self-Avoiding Polygons is not D-Finite

  7. No Access

    Book Chapter

    Pages 117-142

    Polygons and the Lace Expansion

  8. No Access

    Book Chapter

    Pages 143-179

    Exact Enumerations

  9. No Access

    Book Chapter

    Pages 181-202

    Series Analysis

  10. No Access

    Book Chapter

    Pages 203-233

    Monte Carlo Methods for Lattice Polygons

  11. No Access

    Book Chapter

    Pages 235-246

    Effect of Confinement: Polygons in Strips, Slabs and Rectangles

  12. No Access

    Book Chapter

    Pages 247-299

    Limit Distributions and Scaling Functions

  13. No Access

    Book Chapter

    Pages 301-315

    Interacting Lattice Polygons

  14. No Access

    Book Chapter

    Pages 317-346

    Fully Packed Loop Models on Finite Geometries

  15. No Access

    Book Chapter

    Pages 347-424

    Conformal Field Theory Applied to Loop Models

  16. No Access

    Book Chapter

    Pages 425-467

    Stochastic Lowner Evolution and the Scaling Limit of Critical Models

  17. No Access

    Book Chapter

    Pages 469-482

    Appendix: Series Data and Growth Constant, Amplitude and Exponent Estimates

  18. Back Matter

    Pages 483-490