Poisson asymptotics for random projections of points on a high-dimensional sphere
Probability
2011-06-27 v4
Abstract
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.
Cite
@article{arxiv.0903.0107,
title = {Poisson asymptotics for random projections of points on a high-dimensional sphere},
author = {Itai Benjamini and Oded Schramm and Sasha Sodin},
journal= {arXiv preprint arXiv:0903.0107},
year = {2011}
}
Comments
6pp., to appear in Israel J. Math