TY - JOUR
T1 - Poisson asymptotics for random projections of points on a high-dimensional sphere
AU - Benjamini, Itai
AU - Schramm, Oded
AU - Sodin, Sasha
N1 - Funding Information:
∗Oded died while solo climbing Guye Peak in Washington State on September 1, 2008. ∗∗Supported in part by the Adams Fellowship Program of the Israel Academy of Sciences and Humanities and by the ISF. Received March 21, 2009
PY - 2011/3
Y1 - 2011/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=79952137736&partnerID=8YFLogxK
U2 - 10.1007/s11856-011-0014-8
DO - 10.1007/s11856-011-0014-8
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AN - SCOPUS:79952137736
SN - 0021-2172
VL - 181
SP - 381
EP - 386
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -