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arXiv 1306.6347math.PRmath-phmath.COmath.MP
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从交错符号矩阵到高斯酉矩阵

From Alternating Sign Matrices to the Gaussian Unitary Ensemble

Vadim Gorin

摘要:

本文的目的是证明边界附近的均匀随机交替符号矩阵(相当于具有畴壁边界条件的六顶点模型的配置)的波动由高斯酉包络和GUE角点过程描述。

英文摘要:

The aim of this note is to prove that fluctuations of uniformly random alternating sign matrices (equivalently, configurations of the six-vertex model with domain wall boundary conditions) near the boundary are described by the Gaussian Unitary Ensemble and the GUE-corners process.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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