Polygons, Polyominoes and Polycubes

Häftad, Engelska, 2016

699 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

The problem of counting the number of self-avoiding polygons on a square grid, - therbytheirperimeterortheirenclosedarea,is aproblemthatis soeasytostate that, at ?rst sight, it seems surprising that it hasn’t been solved.

Produktinformation

Utgivningsdatum2016-08-23
Mått155 x 235 x 28 mm
Vikt768 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Physics
Antal sidor490
FörlagSpringer
ISBN9789401777124

Tillhör följande kategorier

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.