Area limit laws for symmetry classes of staircase polygons

Richard C, Schwerdtfeger U, Thatte BD (2010)

Publication Type: Journal article

Publication year: 2010

Journal

Combinatorics, Probability & Computing Cambridge University Press (CUP)

Publisher: Cambridge University Press (CUP)

Book Volume: 19

Pages Range: 441--461

Journal Issue: 3

DOI: 10.1017/S0963548309990629

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.

Authors with CRIS profile

Christoph Richard Lehrstuhl für Mathematische Stochastik

Involved external institutions

Universität Bielefeld DE Germany (DE) University of Canterbury NZ New Zealand (NZ)

How to cite

APA:

Richard, C., Schwerdtfeger, U., & Thatte, B.D. (2010). Area limit laws for symmetry classes of staircase polygons. Combinatorics, Probability & Computing, 19(3), 441--461. https://dx.doi.org/10.1017/S0963548309990629

MLA:

Richard, Christoph, Uwe Schwerdtfeger, and Bhalchandra D. Thatte. "Area limit laws for symmetry classes of staircase polygons." Combinatorics, Probability & Computing 19.3 (2010): 441--461.

BibTeX: Download