RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE, II
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Publication:5342958
DOI10.1073/pnas.52.5.1157zbMath0133.16001OpenAlexW2024195246WikidataQ34415676 ScholiaQ34415676MaRDI QIDQ5342958
Publication date: 1964
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1073/pnas.52.5.1157
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Random conical tessellations ⋮ Intersections of random sets ⋮ Shortest path distance in Manhattan Poisson line Cox process ⋮ Asymptotic Methods for Random Tessellations ⋮ The spectrum of some Poisson mosaic processes in the plane and the convex hull of the Brownian bridge ⋮ Generating random polygons with given vertices ⋮ Mixed Random Mosaics ⋮ Boundedness of Crofton's cell for the homogeneous Poisson process of geodesics in the hyperbolic plane ⋮ Effective Mechanical Properties of Low-Density Fibrous Composites ⋮ Refined convergence for the Boolean model ⋮ Empirical polygon simulation and central limit theorems for the homogeneous Poisson line process ⋮ Faces with given directions in anisotropic Poisson hyperplane mosaics ⋮ Monte carlo estimates of the distributions of the random polygons determined by random lines in a plane ⋮ Random line tessellations of the plane: Statistical properties of many-sided cells ⋮ The various aggregates of random polygons determined by random lines in a plane ⋮ Local convergence of the Boolean shell model towards the thick Poisson hyperplane process in the Euclidean space ⋮ On the homogeneous planar Poisson point process ⋮ Empirical (Typical) Cells of the Poisson Medial Tessellation ⋮ Second moment formulae for geometric sampling with test probes ⋮ Precise formulae for the distributions of the principal geometric characteristics of the typical cells of a two-dimensional Poisson-Voronoi tessellation and a Poisson line process ⋮ Local geometry of random geodesics on negatively curved surfaces ⋮ Mean Values of Weighted Cells of Stationary Poisson Hyperplane Tessellations of IRd ⋮ On a conjecture of D. G. Kendall concerning the planar Crofton cell and on its Brownian counterpart
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