Random polytopes on the torus

C. Buchta; R. F. Tichy

doi:10.1090/S0002-9939-1985-0770543-1

Random polytopes on the torus

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

Abstract

The expected volume of the convex hull of n random points chosen independently and uniformly on the d-dimensional torus is determined.

Original language	English
Pages (from-to)	312-316
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	93
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1985-0770543-1
Publication status	Published - Feb 1985
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/S0002-9939-1985-0770543-1

Cite this

@article{94f307fe552e45559fddbf7bd6298dbf,

title = "Random polytopes on the torus",

abstract = "The expected volume of the convex hull of n random points chosen independently and uniformly on the d-dimensional torus is determined.",

author = "C. Buchta and Tichy, {R. F.}",

year = "1985",

month = feb,

doi = "10.1090/S0002-9939-1985-0770543-1",

language = "English",

volume = "93",

pages = "312--316",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - Random polytopes on the torus

AU - Buchta, C.

AU - Tichy, R. F.

PY - 1985/2

Y1 - 1985/2

N2 - The expected volume of the convex hull of n random points chosen independently and uniformly on the d-dimensional torus is determined.

AB - The expected volume of the convex hull of n random points chosen independently and uniformly on the d-dimensional torus is determined.

UR - http://www.scopus.com/inward/record.url?scp=84968513696&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1985-0770543-1

DO - 10.1090/S0002-9939-1985-0770543-1

M3 - Article

AN - SCOPUS:84968513696

SN - 0002-9939

VL - 93

SP - 312

EP - 316

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

Random polytopes on the torus

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this