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

Itai Benjamini; Oded Schramm; Sasha Sodin

doi:10.1007/s11856-011-0014-8

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

Itai Benjamini^*
, Oded Schramm
, Sasha Sodin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	381-386
Number of pages	6
Journal	Israel Journal of Mathematics
Volume	181
Issue number	1
DOIs	https://doi.org/10.1007/s11856-011-0014-8
State	Published - Mar 2011
Externally published	Yes

Access to Document

10.1007/s11856-011-0014-8

Cite this

@article{ff1fb722a3b6436ba5ab6d3f8211324c,

title = "Poisson asymptotics for random projections of points on a high-dimensional sphere",

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.",

author = "Itai Benjamini and Oded Schramm and Sasha Sodin",

year = "2011",

month = mar,

doi = "10.1007/s11856-011-0014-8",

language = "אנגלית",

volume = "181",

pages = "381--386",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Poisson asymptotics for random projections of points on a high-dimensional sphere

AU - Benjamini, Itai

AU - Schramm, Oded

AU - Sodin, Sasha

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 - https://www.scopus.com/pages/publications/79952137736

U2 - 10.1007/s11856-011-0014-8

DO - 10.1007/s11856-011-0014-8

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

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 -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this