Stability results for the volume of random simplices

Details Stability results for the volume of random simplices Stability results for the volume of random simplices

2010-05-27

arxiv.org/abs/1005.5024v2

Mathematics

Metric Geometry

26 pages

Scientific paper

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

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