Area Limit Laws for Symmetry Classes of Staircase Polygons

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. MSC numbers: 82B41, 05A16, 39A13

• Type: Journal
• Year: 2010
• Where: CPC
• Authors: Uwe Schwerdtfeger, C. Richard, B. Thatte
• Keywords: Area Limit Laws, CPC 2010, Operations Research, Perimeter Generating Functions, Various Symmetry Classes