论文标题
Ginibre矩阵产物的混合时刻
Mixed Moments for the Product of Ginibre Matrices
论文作者
论文摘要
我们研究了n个复杂高斯i.i.d.的产品的合奏。矩阵。我们发现这个合奏是高斯，具有方差矩阵，该矩阵在多维亚特集合中平均。我们计算混合的时刻，发现在$ n $中，它们是通过列举了由大惊小怪的 - 卡塔兰人数量加权的非交叉配对来给出的。
We study the ensemble of a product of n complex Gaussian i.i.d. matrices. We find this ensemble is Gaussian with a variance matrix which is averaged over a multi-Wishart ensemble. We compute the mixed moments and find that at large $N$, they are given by an enumeration of non-crossing pairings weighted by Fuss-Catalan numbers.
