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Area Limit Laws for Symmetry Classes of Staircase Polygons
2010
Combinatorics, probability & computing
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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.
doi:10.1017/s0963548309990629
fatcat:r5xwi7h4svewpf24jnmmxbrnvy