Exact solution of two planar polygon models

Anthony J. Guttmann, Iwan Jensen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Using a simple transfer matrix approach we have derived long series expansions for the perimeter generating functions of both three-choice polygons and punctured staircase polygons. In both cases we find that all the known terms in the generating function can be reproduced from a linear Fuchsian differential equation of order 8. We report on an analysis of the properties of the differential equations.

Original languageEnglish
Title of host publicationNankai Tracts in Mathematics; Differential Geometry and Physics - Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics
EditorsMo-Kub Ge, Weiping Zhang
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages221-231
Number of pages11
Volume10
ISBN (Print)9812703772, 9789812703774
Publication statusPublished - 1 Jan 2006
Externally publishedYes
Event23rd International Conference on Differential Geometric Methods in Theoretical Physics, DGMTP 2005 - Tianjin, China
Duration: 20 Aug 200526 Aug 2005

Publication series

NameNankai Tracts in Mathematics; Differential Geometry and Physics - Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, DGMTP 2005
Volume10

Conference

Conference23rd International Conference on Differential Geometric Methods in Theoretical Physics, DGMTP 2005
CountryChina
CityTianjin
Period20/08/0526/08/05

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