Stability results for the volume of random simplices
classification
🧮 math.MG
keywords
volumerandomsimplicesstabilitybodyconvexcorrespondingellipsoid
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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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