Loops, matchings and alternating-sign matrices

被引：41
作者：
de Gier, J [1 ]
机构：
[1] Univ Melbourne, Dept Math & Stat, Melbourne, Vic 3010, Australia
来源：
DISCRETE MATHEMATICS | 2005年 / 298卷 / 1-3期
关键词：
exact enumerations; alternating sign matrices; fully packed loop model; Temperley-Lieb algebra;
D O I：
10.1016/j.disc.2003.11.060
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The appearance of numbers enumerating alternating sign matrices in stationary states of certain stochastic processes on matchings is reviewed. New conjectures concerning nest distribution functions are presented as well as a bijection between certain classes of alternating sign matrices and lozenge things of hexagons with cut off corners. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：365 / 388
页数：24
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