Polygons, Polyominoes and Polycubes

Häftad, Engelska, 2016

534 kr

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Beskrivning

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

Utgivningsdatum:2016-08-23
Mått:155 x 235 x 28 mm
Vikt:768 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Physics
Antal sidor:490
Förlag:Springer
ISBN:9789401777124

Utforska kategorier

Innehållsförteckning

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.