q-linear approximants: scaling functions for polygon models
Richard C, Guttmann A (2001)
Publication Type: Journal article
Publication year: 2001
Journal
Publisher: Iop Publishing Ltd
Book Volume: 34
Pages Range: 4783-4796
Journal Issue: 23
DOI: 10.1088/0305-4470/34/23/301
Abstract
The perimeter and area generating functions of exactly solvable polygon models
satisfy q-functional equations, where q is the area variable. The behaviour
in the vicinity of the point where the perimeter generating function diverges
can often be described by a scaling function. We develop the method of qlinear
approximants in order to extract the approximate scaling behaviour of
polygon models when an exact solution is not known. We test the validity of
our method by approximating exactly solvable q-linear polygon models. This
leads to scaling functions for a number of q-linear polygon models, notably
generalized rectangles, Ferrers diagrams, and stacks.
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Australia (AU)How to cite
APA:
Richard, C., & Guttmann, A. (2001). q-linear approximants: scaling functions for polygon models. Journal of Physics A: Mathematical and General, 34(23), 4783-4796. https://dx.doi.org/10.1088/0305-4470/34/23/301
MLA:
Richard, Christoph, and Anthony Guttmann. "q-linear approximants: scaling functions for polygon models." Journal of Physics A: Mathematical and General 34.23 (2001): 4783-4796.
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