Random Polytopes Generated by Anisotropic Hyperplanes

DOI10.1112/blms/14.6.549zbMath0476.60010OpenAlexW2040732701MaRDI QIDQ3933687

Rolf Schneider

Publication date: 1982

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/14.6.549

zbMATH Keywords

geometric probabilityrandom hyperplanesisotropic hyperplanes

Mathematics Subject Classification ID

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

Related Items (14)

On polars of mixed projection bodies ⋮ Projection problems for symmetric polytopes ⋮ Extremum problems for the cone volume functional of convex polytopes ⋮ On the Number of Vertices of Random Polyhedra with a Given Number of Facets ⋮ EXPECTEDf‐VECTOR OF THE POISSON ZERO POLYTOPE AND RANDOM CONVEX HULLS IN THE HALF‐SPHERE ⋮ Inequalities for Mixed Projection Bodies ⋮ Stability of the reverse Blaschke-Santaló inequality for zonoids and applications ⋮ Inequalities for polars of mixed projection bodies ⋮ Geometric inequalities for Poisson processes of convex bodies and cylinders ⋮ Mixed Projection Inequalities ⋮ Facial structure of strongly convex sets generated by random samples ⋮ A width-diameter inequality for convex bodies ⋮ Intersections of random hypersurfaces and visibility ⋮ A General Isepiphanic Inequality

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