论文标题
与渐近释放随机矩阵共轭共轭引起的波动力矩
Fluctuation moments induced by conjugation with asymptotically liberating random matrix ensembles
论文作者
论文摘要
G. Anderson和B. Farrel表明，通过渐近释放随机统一矩阵偶然矩阵的结合会产生渐近的无独立性。独立的HAAR独立随机矩阵和独立的HAAR - 正交随机矩阵是渐近解放合奏的例子。在本文中，我们调查了通过渐近释放的矩阵构造引起的波动矩和更高阶段的时刻。特别是，我们确定与离散傅里叶变换矩阵相关的合奏引起的波动矩。
G. Anderson and B. Farrel showed that conjugation of constant matrices by asymptotically liberating random unitary matrices give rise to asymptotic free independence. Independent Haar-unitary random matrices and independent Haar-orthogonal random matrices are examples of asymptotically liberating ensembles. In this paper, we investigate the fluctuation moments, and higher order moments, induced on constant matrices by conjugation with asymptotically liberating ensembles. In particular, we determine fluctuation moments induced by an ensembles related to the Discrete Fourier Transform matrix.
