超椭圆Riemann曲面上的特征值关联
Eigenvalue correlations on Hyperelliptic Riemann surfaces
摘要：
本文计算了薄导体上g +1个不相交区间之和$J:=\cup_{j=1}^{g+1}(a_j,b_j),$对外加电势的感应电荷密度的泛函导数。在随机矩阵理论的背景下，本文给出了厄米特随机矩阵系综的特征值涨落，其中特征值密度在J。
英文摘要：
In this note we compute the functional derivative of the induced charge density, on a thin conductor, consisting of the union of g+1 disjoint intervals, $J:=\cup_{j=1}^{g+1}(a_j,b_j),$ with respect to an external potential. In the context of random matrix theory this object gives the eigenvalue fluctuations of Hermitian random matrix ensembles where the eigenvalue density is supported on J.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
