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research article

Stability Results For The Volume Of Random Simplices

Ambrus, Gergely  
•
Boeroeczky, Karoly J.
2014
American Journal Of Mathematics

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.

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Type
research article
DOI
10.1353/ajm.2014.0030
Web of Science ID

WOS:000339455300001

Author(s)
Ambrus, Gergely  
Boeroeczky, Karoly J.
Date Issued

2014

Publisher

Johns Hopkins Univ Press

Published in
American Journal Of Mathematics
Volume

136

Issue

4

Start page

833

End page

857

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
DCG  
Available on Infoscience
August 29, 2014
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/106234
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