Moments and Valuations
classification
🧮 math.MG
keywords
valuationsvectorclassifiedcompletelycontainingconvexcovariantessentially
read the original abstract
All measurable and $\operatorname{SL}(n)$-covariant vector valued valuations on convex polytopes containing the origin in their interiors are completely classified. The moment vector is shown to be essentially the only such valuation.
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