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THE AVERAGE DISTANCE BETWEEN TWO POINTS

Part of:General convexity

Published online by Cambridge University Press:  02 October 2009

BERNHARD BURGSTALLER and
FRIEDRICH PILLICHSHAMMER
BERNHARD BURGSTALLER
Affiliation:
Doppler Institute for Mathematical Physics, Trojanova 13, 12000 Prague, Czech Republic (email: bernhardburgstaller@yahoo.de)
FRIEDRICH PILLICHSHAMMER*
Affiliation:
Institut für Finanzmathematik, Universität Linz, Altenbergstraße 69, A-4040 Linz, Austria (email: friedrich.pillichshammer@jku.at)
*
✉For correspondence; e-mail: friedrich.pillichshammer@jku.at
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Abstract

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We provide bounds on the average distance between two points uniformly and independently chosen from a compact convex subset of the s-dimensional Euclidean space.

Keywords

distance geometryrandom convex setsaverage distance

MSC classification

Secondary:52A22: Random convex sets and integral geometry

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 80 , Issue 3 , December 2009, pp. 353 - 359
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

References

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