Loops, matchings and alternating-sign matrices
Loops, matchings and alternating-sign matrices
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循环、匹配和交替符号矩阵
DOI：
10.1016/j.disc.2003.11.060
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
J. Gier
中科院分区：
文献类型：
--
作者：
J. Gier
本文回顾了在某些匹配随机过程的定态中出现计数交替符号矩阵的数的现象。本文给出了有关套分布函数的新的性质，以及某些类交替符号矩阵与截角菱形六边形镶嵌之间的一个双射。
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 tilings of hexagons with cut off corners.