On the mean value of the area of a random polygon in a plane convex body

DOI10.1112/S0025579300015023zbMath0759.52009MaRDI QIDQ4027937

Apostolos Giannopoulos

Publication date: 3 March 1993

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

random convex sets

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (11)

Best and random approximation of a convex body by a polytope ⋮ A SIMPLICIAL POLYTOPE THAT MAXIMIZES THE ISOTROPIC CONSTANT MUST BE A SIMPLEX ⋮ Introduction to Stochastic Geometry ⋮ Sylvester-Busemann type functionals with respect to Orlicz centroid bodies ⋮ The convex hull of random points on the boundary of a simple polytope ⋮ Shadow systems: remarks and extensions ⋮ Random polytopes and the Efron-Stein jackknife inequality. ⋮ The combinatorial structure of random polytopes ⋮ Extremal convex sets for Sylvester–Busemann type functionals ⋮ Sylvester's problem for symmetric convex bodies and related problems ⋮ Random polytopes in a convex polytope, independence of shape, and concentration of vertices

Cites Work

• On the mean value of the volume of a random polytope in a convex set
• On some mean values associated with a randomly selected simplex in a convex set
• Random approximation of convex sets*

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