## Stability Results For The Volume Of Random Simplices

It is known that for a convex body K in R-d of volume one, the expected volume of random simplices in K is minimized if K is an ellipsoid, and for d = 2, maximized if K is a triangle. Here we provide corresponding stability estimates.

Published in:
American Journal Of Mathematics, 136, 4, 833-857
Year:
2014
Publisher:
Baltimore, Johns Hopkins Univ Press
ISSN:
0002-9327
Laboratories: