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Moments and valuations
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 138, Number 6, December 2016
- pp. 1575-1603
- 10.1353/ajm.2016.0047
- Article
- Additional Information
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Abstract
All measurable and ${\rm SL}(n)$-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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