论文标题
关于矩阵值高斯流程的多个特征值的碰撞
On collision of multiple eigenvalues for matrix-valued Gaussian processes
论文作者
论文摘要
对于真正的对称且复杂的Hermitian高斯流程，其值为$ d \ times d $矩阵，我们表征了至少$ k $ eigenvalues Collide的可能性为$ 2 \ le K \ le d $的阳性，并且我们获得了碰撞时间集的Hausdorff尺寸。
For real symmetric and complex Hermitian Gaussian processes whose values are $d\times d$ matrices, we characterize the conditions under which the probability that at least $k$ eigenvalues collide is positive for $2\le k\le d$, and we obtain the Hausdorff dimension of the set of collision times.
