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

By Itai Benjamini, Oded Schramm, S. Sodin. 2009

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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.

View Paper: https://www.semanticscholar.org/paper/f36ecc2362ec830238e515dfb547e5e7162b19a1

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