Corpus ID: 218763214

Random inscribed polytopes in projective geometries

  title={Random inscribed polytopes in projective geometries},
  author={Florian Besau and Daniel Ros{\'e}n and Christoph Thale},
  journal={arXiv: Metric Geometry},
  • Florian Besau, Daniel Rosén, Christoph Thale
  • Published 2020
  • Mathematics
  • arXiv: Metric Geometry
  • We establish central limit theorems for natural volumes of random inscribed polytopes in projective Riemannian or Finsler geometries. In addition, normal approximation of dual volumes and the mean width of random polyhedral sets are obtained. We deduce these results by proving a general central limit theorem for the weighted volume of the convex hull of random points chosen from the boundary of a smooth convex body according to a positive and continuous density in Euclidean space. In the… CONTINUE READING

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