《自由概率论》讲义
Lecture Notes on "Free Probability Theory"
AI总结：
本文介绍《自由概率论》讲义内容，涵盖基本理论及与随机矩阵、算子代数的关系，基于授课者两本著作，限定标量值框架，2018/19冬季学期在萨尔兰大学授课并录制上线。
摘要：
本文介绍自由概率论，涵盖基本组合与分析理论，以及其与随机矩阵和算子代数的关系。内容主要基于授课者的两本书，一本与Nica合著，另一本与Mingo合著。本文将自由概率论限定在标量值框架下，算子值版本将在后续“非交换分布”系列讲义中探讨。本内容于2018/19冬季学期在萨尔兰大学以26讲、每讲90分钟的形式呈现，讲座已录制并可在https://www.youtube.com/playlist?list=PLY11JnnnTUCYZni2Q7QNVa9hPGu77GK4M在线观看。
英文摘要：
This in an introduction to free probability theory, covering the basic combinatorial and analytic theory, as well as the relations to random matrices and operator algebras. The material is mainly based on the two books of the lecturer, one joint with Nica and one joint with Mingo. Free probability is here restricted to the scalar-valued setting, the operator-valued version is treated in the subsequent lecture series on "Non-Commutative Distributions". The material here was presented in the winter term 2018/19 at Saarland University in 26 lectures of 90 minutes each. The lectures were recorded and can be found online at https://www.youtube.com/playlist?list=PLY11JnnnTUCYZni2Q7QNVa9hPGu77GK4M
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。
