English

Moments and Valuations

Metric Geometry 2015-07-07 v1

Abstract

All measurable and SL(n)\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.

Keywords

Cite

@article{arxiv.1507.01220,
  title  = {Moments and Valuations},
  author = {Christoph Haberl and Lukas Parapatits},
  journal= {arXiv preprint arXiv:1507.01220},
  year   = {2015}
}
R2 v1 2026-06-22T10:05:54.667Z