论文标题
Wishart随机矩阵的部分转置和渐近独立性:第二部分
The Partial Transpose and Asymptotic Free Independence for Wishart Random Matrices: Part II
论文作者
论文摘要
使用新的组合技术,我们可以显着改善有关WishArt随机矩阵部分转置的渐近分布和无渐近独立关系的先前结果。特别是,我们为具有差异块大小的WishArt矩阵的部分转置的渐近独立性提供了必要和充分的条件。
Using new combinatorial techniques, we significantly improve the previous results on asymptotic distributions and asymptotic free independence relations of partial transposes of Wishart random matrices. In particular, we give a necessary and sufficient condition for the asymptotic free independence of partial transposes of Wishart matrices with difference block sizes.