Topics in Random Matrix Theory

Topics in Random Matrix Theory pdf epub mobi txt 电子书 下载 2025

出版者:American Mathematical Society
作者:Terrence Tao
出品人:
页数:282
译者:
出版时间:2012-3-21
价格:USD 64.00
装帧:Hardcover
isbn号码:9780821874301
丛书系列:Graduate Studies in Mathematics
图书标签:
  • 数学 
  • Mathematics 
  • 随机矩阵 
  • 其余代数7 
  • Stochastics 
  • Statistics 
  • Probability 
  • Math 
  •  
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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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Tao写书真的太清楚了

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陶哲轩的作品。

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Tao写书真的太清楚了

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Sec1.3-Sec2.4

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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。

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