Concentration phenomena in high dimensional geometry
Concentration phenomena in high dimensional geometry
复制标题
高维几何中的集中现象
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
O. Gu'edon
中科院分区：
文献类型：
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作者：
O. Gu'edon
本文的目的是介绍高维几何中浓度现象的几个方面。研究的核心是从高维凸体理论出发的几何分析观点。该主题有广泛的受众从算法凸几何随机矩阵。我们试图强调与这些研究领域有关的不同问题。另一个相关的领域是研究概率在Banach空间中的一些浓度现象与良好的比较之间的弱和强的时刻的随机向量。
The purpose of this note is to present several aspects of concentration phenomena in high dimensional geometry. At the heart of the study is a geometric analysis point of view coming from the theory of high dimensional convex bodies. The topic has a broad audience going from algorithmic convex geometry to random matrices. We have tried to emphasize different problems relating these areas of research. Another connected area is the study of probability in Banach spaces where some concentration phenomena are related with good comparisons between the weak and the strong moments of a random vector.