论文标题
关于随机矩阵与独立条目的特征多项式的相关函数：复杂和真实情况之间的插值
On the Correlation Functions of the Characteristic Polynomials of Random Matrices with Independent Entries: Interpolation Between Complex and Real Cases
论文作者
论文摘要
该论文涉及随机矩阵与独立复杂条目的特征多项式的相关函数。我们研究了相关函数的渐近行为如何取决于矩阵条目的共同概率定律的第二刻，这是条目的一种``现实度量''。结果表明，相关函数对复杂的Ginibre集合的行为就像仅取决于矩阵条目的共同概率定律的第四刻和第四个绝对力矩，最高为一个因素。
The paper is concerned with the correlation functions of the characteristic polynomials of random matrices with independent complex entries. We investigate how the asymptotic behavior of the correlation functions depends on the second moment of the common probability law of the matrix entries, a sort of ``reality measure'' of the entries. It is shown that the correlation functions behave like that for the Complex Ginibre Ensemble up to a factor depending only on the second moment and the fourth absolute moment of the common probability law of the matrix entries.
