ON THE MONOTONICITY OF THE MOMENTS OF VOLUMES OF RANDOM SIMPLICES

DOI10.1112/S0025579316000127zbMath1420.60011arXiv1601.07295MaRDI QIDQ2827925

Benjamin Reichenwallner, Matthias Reitzner

Publication date: 21 October 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07295

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items

Moments of volumes of lower-dimensional random simplices are not monotone, Random approximation of convex bodies: monotonicity of the volumes of random tetrahedra, Monotonicity of facet numbers of random convex hulls

Cites Work

• Random points in a simplex
• ON THE MONOTONICITY OF THE EXPECTED VOLUME OF A RANDOM SIMPLEX
• Some Distribution-Independent Results About the Asymptotic Order of the Average Number of Pivot Steps of the Simplex Method
• On the distribution of a random triangle
• Random Polytopes
• Isotropic random simplices