内容简介

The field of random matrix theory has seen an explosion of activity in recent years, with connections to many areas of mathematics and physics. However, this makes the current state of the field almost too large to survey in a single book. In this graduate text, we focus on one specific sector of the field, namely the spectral distribution of random Wigner matrix ensembles (such as the Gaussian Unitary Ensemble), as well as iid matrix ensembles. The text is largely self-contained and starts with a review of relevant aspects of probability theory and linear algebra. With over 200 exercises, the book is suitable as an introductory text for beginning graduate students seeking to enter the field

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豆瓣评论

  • nEw2
    Sec1.3-Sec2.410-11
  • GoodMorning
    Tao写书真的太清楚了 12-12
  • 达达
    毕业论文相关,希望两个月内能读完吧呜呜呜06-24
  • 镜子里的我
    Tao的风格很明显,偏重组合,概率味道反而不够,基本就是为了证明圆律做准备的。RMT里其他重要内容,像Tracy-Widom distribution都没提也是很神奇。而且写作顺序上,开头花了两章来叙述concentration measures和CLT证明的技术,导致讲semi circle law和circular law的时候要不停地引好几章之前的结论,看起来非常麻烦。还是看AGZ的好。04-04

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