Let [Formula: see text], [Formula: see text], be [Formula: see text] probabilistically independent matrices of order [Formula: see text] (with [Formula: see text]) which are the left-uppermost blocks of [Formula: see text] Haar unitary matrices. Suppose that [Formula: see text] as [Formula: see text], with [Formula: see text]. Using free probability and Brown measure techniques, we find the limiting spectral distribution of [Formula: see text].

中文翻译：

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截断 Haar 酉矩阵乘积的限制光谱分布

令 [Formula: see text], [Formula: see text], 是 [Formula: see text] 阶 [Formula: see text] (with [Formula: see text]) 的概率独立矩阵，它们是[公式：见正文] Haar 酉矩阵。假设 [Formula: see text] 为 [Formula: see text]，与 [Formula: see text]。使用自由概率和布朗测量技术，我们找到了[公式：见正文]的极限光谱分布。