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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Random polytopes on the torus


Authors: C. Buchta and R. F. Tichy
Journal: Proc. Amer. Math. Soc. 93 (1985), 312-316
MSC: Primary 60D05; Secondary 52A22
MathSciNet review: 770543
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Abstract: The expected volume of the convex hull of $ n$ random points chosen independently and uniformly on the $ d$-dimensional torus is determined.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0770543-1
PII: S 0002-9939(1985)0770543-1
Article copyright: © Copyright 1985 American Mathematical Society