We apply the method of moments to prove a recent conjecture of Haikin, Zamir and Gavish (2017) concerning the distribution of the singular values of random subensembles of Paley equiangular tight frames. Our analysis applies more generally to real equiangular tight frames of redundancy 2, and we suspect similar ideas will eventually produce more general results for arbitrary choices of redundancy.

中文翻译：

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佩雷等角紧框架随机子集的 Kesten-McKay 定律

我们应用矩量法来证明 Haikin、Zamir 和 Gavish (2017) 关于 Paley 等角紧框架的随机子系综的奇异值分布的最新猜想。我们的分析更普遍地适用于冗余 2 的真实等角紧框架，我们怀疑类似的想法最终会为任意选择冗余产生更一般的结果。