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Poisson asymptotics for random projections of points on a high-dimensional sphere
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math.PR
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pointshigh-dimensionalpoissonrandomsphereanotherappropriateasymptotics
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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.
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