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arXiv · 0710.4041

Area limit laws for symmetry classes of staircase polygons

Christoph Richard·Uwe Schwerdtfeger·Bhalchandra Thatte
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Abstract

We derive area limit laws for the various symmetry classes of staircase polygons on the square lattice, in a uniform ensemble where, for fixed perimeter, each polygon occurs with the same probability. This complements a previous study by Leroux and Rassart, where explicit expressions for the area and perimeter generating functions of these classes have been derived.

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Christoph Richard, Uwe Schwerdtfeger, Bhalchandra Thatte. 2007-10-22. Area limit laws for symmetry classes of staircase polygons. https://doi.org/10.1017/s0963548309990629

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