高斯块系综的极限分布
Limit distributions of Gaussian block ensembles
摘要：
Voiculescu已经证明了重要的平方独立随机矩阵类是渐近自由的，其中自由度是经典独立性的非交换模拟。最近，我们引入了矩阵自由度的概念，它类似于自由概率中的自由度，但它也具有一些矩阵特征。利用非交换独立性这一新概念，我们描述了某些独立随机矩阵的块和对称块的渐近性。在本文中，我们提出了在这个框架中获得的主要结果，集中在块高斯随机矩阵的合奏。
英文摘要：
It has been shown by Voiculescu that important classes of square independent random matrices are asymptotically free, where freeness is a noncommutative analog of classical independence. Recently, we introduced the concept of matricial freeness, which is similar to freeness in free probability, but it also has some matricial features. Using this new concept of noncommutative independence, we described the asymptotics of blocks and symmetric blocks of certain classes of independent random matrices. In this paper, we present the main results obtained in this framework, concentrating on the ensembles of blocks of Gaussian random matrices.
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。
