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

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

2009-02-28

arxiv.org/abs/0903.0107v4

Isr. J. Math, vol. 181 (2011), no.1, pp. 381--386,

Mathematics

Probability

6pp., to appear in Israel J. Math

Scientific paper

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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