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arXiv 0903.0107math.PR
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高维球面上点的随机投影的Poisson渐近性

Poisson asymptotics for random projections of points on a high-dimensional sphere

Itai Benjamini, Oded Schramm, Sasha Sodin

摘要:

将高维球体上的一组点投影到随机方向上。如果大多数点在适当的意义上彼此足够远,则投影在分布上局部接近泊松点过程。

英文摘要:

Project a collection of points on the high-dimensional sphere onto a random direction. If most of the points are sufficiently far from one another in an appropriate sense, the projection is locally close in distribution to the Poisson point process.

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。

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