随机矩阵理论：Wigner-Dyson统计及其他。（在SISSA（意大利的里雅斯特）举办的课程的讲稿）
Random matrix theory: Wigner-Dyson statistics and beyond. (Lecture notes of a course given at SISSA (Trieste, Italy))
摘要：
这是一门关于随机矩阵理论的课程，包括传统的和先进的主题，广泛使用经典的对数等离子体类比和具有平方反比相互作用的一维相互作用费米子的量子系统（Calogero-Sutherland模型）。某些非不变的随机矩阵合奏也被认为是与他们的特征函数统计的重点。该课程也可以被视为介绍本地化理论，其中（非不变）随机矩阵集合扮演玩具模型的角色，以说明基于超向量/超矩阵表示的函数方法。
英文摘要：
This is a course on Random Matrix Theory which includes traditional as well as advanced topics presented with an extensive use of classical logarithmic plasma analogy and that of the quantum systems of one-dimensional interacting fermions with inverse square interaction (Calogero-Sutherland model). Certain non-invariant random matrix ensembles are also considered with the emphasis on the eigenfunction statistics in them. The course can also be viewed as introduction to theory of localization where the (non-invariant) random matrix ensembles play a role of the toy models to illustrate functional methods based on super-vector/super-matrix representations.
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