Loops, matchings and alternating-sign matrices
组合数学
2007-05-23 v2 数学物理
math.MP
可精确求解与可积系统
摘要
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.
引用
@article{arxiv.math/0211285,
title = {Loops, matchings and alternating-sign matrices},
author = {Jan de Gier},
journal= {arXiv preprint arXiv:math/0211285},
year = {2007}
}
备注
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