用Poisson乘积公式计算超矩阵谱
Computing Hypermatrix Spectra with the Poisson Product Formula
摘要：
我们使用Poisson乘积公式计算“全一”超矩阵的谱。这种计算包括对特征值多重性的完整描述，这是张量谱理论中一个看似难以捉摸的方面。我们还给出了一个一般的分布图片的频谱作为一个点集在复平面，并使用我们的技术来分析频谱的“向日葵超图”，一类发挥了突出的作用，在极值超图理论。
英文摘要：
We compute the spectrum of the "all ones" hypermatrix using the Poisson product formula. This computation includes a complete description of the eigenvalues' multiplicities, a seemingly elusive aspect of the spectral theory of tensors. We also give a general distributional picture of the spectrum as a point-set in the complex plane, and use our techniques to analyze the spectrum of "sunflower hypergraphs", a class that has played a prominent role in extremal hypergraph theory.
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