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math.MG2020
Random inscribed polytopes in projective geometries
Florian Besau, Daniel Rosen, Christoph Thäle
We establish central limit theorems for natural volumes of random inscribed polytopes in projective Riemannian or Finsler geometries. In addition, normal approximation of dual volu…
math.PR2020
Limit theorems for random points in a simplex
Anastas Baci, Zakhar Kabluchko, Joscha Prochno +2
In this work the -norms of points chosen uniformly at random in a centered regular simplex in high dimensions are studied. Berry-Esseen bounds in the regime $1\leq q < \inf…