Area limit laws for symmetry classes of staircase polygons

Mathematics – Combinatorics

Scientific paper

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18 pages, 3 figures

Scientific paper

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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