Loops, matchings and alternating-sign matrices
Combinatorics
2007-05-23 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The appearance of numbers enumerating alternating sign matrices in stationary states of certain stochastic processes is reviewed. New conjectures concerning nest distribution functions are presented as well as a bijection between certain classes of alternating sign matrices and lozenge tilings of hexagons with cut off corners.
Cite
@article{arxiv.math/0211285,
title = {Loops, matchings and alternating-sign matrices},
author = {Jan de Gier},
journal= {arXiv preprint arXiv:math/0211285},
year = {2007}
}
Comments
LaTeX, 26 pages, 44 figures, extended version of a talk given at the 14th International Conference on Formal Power Series and Algebraic Combinatorics (Melbourne 2002); Version2: Changed title, expanded some sections and included more pictures