Area limit laws for symmetry classes of staircase polygons
Combinatorics
2014-12-22 v1 Probability
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.
Keywords
Cite
@article{arxiv.0710.4041,
title = {Area limit laws for symmetry classes of staircase polygons},
author = {Christoph Richard and Uwe Schwerdtfeger and Bhalchandra Thatte},
journal= {arXiv preprint arXiv:0710.4041},
year = {2014}
}
Comments
18 pages, 3 figures