随机矩阵模型本征值分布的引力透镜
Gravitational lensing by eigenvalue distributions of random matrix models
摘要：
我们建议在引力透镜中使用酉随机矩阵系综的本征值密度作为质量分布。相应的透镜方程归结为复平面上的代数方程，可以用解析法处理。我们证明，这些模型可以应用于描述透镜系统的边缘星系。我们说明我们的分析与高斯和四次酉矩阵合奏。
英文摘要：
We propose to use eigenvalue densities of unitary random matrix ensembles as mass distributions in gravitational lensing. The corresponding lens equations reduce to algebraic equations in the complex plane which can be treated analytically. We prove that these models can be applied to describe lensing by systems of edge-on galaxies. We illustrate our analysis with the Gaussian and the quartic unitary matrix ensembles.
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