Bulletin of the Australian Mathematical Society
- Bulletin of the Australian Mathematical Society / Volume 80 / Issue 03 / December 2009, pp 353-359
- Copyright © Australian Mathematical Publishing Association Inc. 2009
- DOI: http://dx.doi.org/10.1017/S0004972709000707 (About DOI), Published online: 02 October 2009
Research Article
THE AVERAGE DISTANCE BETWEEN TWO POINTS
BERNHARD BURGSTALLERa1 and FRIEDRICH PILLICHSHAMMERa2 c1
a1 Doppler Institute for Mathematical Physics, Trojanova 13, 12000 Prague, Czech Republic (email: bernhardburgstaller@yahoo.de)
a2 Institut für Finanzmathematik, Universität Linz, Altenbergstraße 69, A-4040 Linz, Austria (email: friedrich.pillichshammer@jku.at)
Abstract
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.
(Received May 19 2008)
2000 Mathematics subject classification
- primary 52A22; secondary 60D05
Keywords and phrases
- distance geometry;
- random convex sets;
- average distance
Correspondence:
c1 For correspondence; e-mail: friedrich.pillichshammer@jku.at
