Intersections of random hypersurfaces and visibility

DOI10.1007/BF01000214zbMath0562.60015OpenAlexW2064785545MaRDI QIDQ1056969

John André Wieacker

Publication date: 1986

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01000214

zbMATH Keywords

Poisson processintersection propertiesstationary random hypersurfaces

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05)

Related Items (4)

Integral geometry in Minkowski spaces ⋮ Intersection densities of nonstationary Poisson processes of hypersurfaces ⋮ Geometric inequalities for Poisson processes of convex bodies and cylinders ⋮ Poisson polyhedra in high dimensions

Cites Work

• Translative Poincaré formulae for Hausdorff rectifiable sets
• Densities for stationary random sets and point processes
• Extremum properties of the intersection densities of stationary poisson hyperplane processes
• Random Polytopes Generated by Anisotropic Hyperplanes
• Random hyperplanes meeting a convex body
• Poisson flats in Euclidean spaces Part II: Homogeneous Poisson flats and the complementary theorem
• Colloquium lectures on geometric measure theory
• Poisson flats in Euclidean spaces Part I: A finite number of random uniform flats
• Some Integralgeometric Theorems
• Random processes of Hausdorff rectifiable closet sets
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