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arXiv 0810.4700math.FAmath.PR
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关于高维概率测度的近径向边缘

On nearly radial marginals of high-dimensional probability measures

Bo'az Klartag

摘要:

证明了高维线性空间上的任何绝对连续概率测度都有近似球对称的低维边缘。

英文摘要:

We prove that any absolutely continuous probability measure on a high-dimensional linear space has low-dimensional marginals that are approximately spherically-symmetric.

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