Ambrus, GergelyBoeroeczky, Karoly J.2014-08-292014-08-292014-08-29201410.1353/ajm.2014.0030https://infoscience.epfl.ch/handle/20.500.14299/106234WOS:000339455300001It 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.text::journal::journal article::research article