论文标题
所有对称类中有限频道数量的时间延迟统计数据
Time delay statistics for finite number of channels in all symmetry classes
论文作者
论文摘要
在随机矩阵理论方法中，我们获得了Wigner时间延迟矩阵$ Q $的光谱统计，对于任意通道数字$ M $和所有对称类别，实际上对于一般的Dyson参数$β$。我们还提出了两个猜想：一个与$ Q $的痕迹痕迹的共同累积物的大量扩展有关，这概括并暗示了Cunden，Mezzadri，Mezzadri，Vivo和Simm的先前猜想；另一个涉及$ Q $的权力痕迹的分布的尾巴。
Within a random matrix theory approach, we obtain spectral statistics of the Wigner time delay matrix $Q$, for arbitrary channels number $M$ and for all symmetry classes, in fact for general Dyson parameter $β$. We also put forth two conjectures: one is related to the large-$M$ expansion of joint cumulants of traces of powers of $Q$, which generalizes and implies a previous conjecture of Cunden, Mezzadri, Vivo and Simm; the other concerns the tail of the distribution of traces of powers of $Q$.
