从交错符号矩阵到高斯酉矩阵
From Alternating Sign Matrices to the Gaussian Unitary Ensemble
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。