论文标题
高斯随机矩阵的渐近无独立性和进入排列。第二部分：无限的弗雷尼斯
Asymptotic free independence and entry permutations for Gaussian random matrices. Part II: Infinitesimal freeness
论文作者
论文摘要
我们研究了带有置换条目的高斯单位合奏的渐近无限分布。我们表明，对于随机均匀排列，渐近排列的Gue矩阵具有无穷小分布。此外，我们表明，同一GUE基质的渐近置换次数是无限的。除此之外，我们研究了进入排列的特定示例 - 转置，我们表明，尽管Gue矩阵渐近地脱离了其转置，但它并非无限地没有它。
We study asymptotic infinitesimal distributions of Gaussian Unitary Ensembles with permuted entries. We show that for random uniform permutations, the asymptotically permuted GUE matrix has a null infinitesimal distribution. Moreover, we show that asymptotically different permutations of the same GUE matrix are infinitesimally free. Besides this we study particular example of entry permutation - the transpose, and we show that while a GUE matrix is asymptotically free from its transpose it is not infinitesimally free from it.
