RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE
From MaRDI portal
Publication:5734061
DOI10.1073/pnas.52.4.901zbMath0122.17301OpenAlexW4240634492WikidataQ34414025 ScholiaQ34414025MaRDI QIDQ5734061
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.52.4.901
Related Items
A bivariate exponential distribution arising in random geometry, Random conical tessellations, Intrinsic correlation in planar Poisson line processes, Continuity results and estimates for the Lyapunov exponent of Brownian motion in stationary potential, 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, Continuum percolation with holes, Boundedness of Crofton's cell for the homogeneous Poisson process of geodesics in the hyperbolic plane, Effective Mechanical Properties of Low-Density Fibrous Composites, EXPECTEDf‐VECTOR OF THE POISSON ZERO POLYTOPE AND RANDOM CONVEX HULLS IN THE HALF‐SPHERE, The proportion of triangles in a class of anisotropic Poisson line tessellations, Planar line processes for void and density statistics in thin stochastic fibre networks, Description of the symmetric convex random closed sets as zonotopes from their Feret diameters, Refined convergence for the Boolean model, Densities of Shortest Path Lengths in Spatial Stochastic Networks, Empirical polygon simulation and central limit theorems for the homogeneous Poisson line process, Random line tessellations of the plane: Statistical properties of many-sided cells, Geodesics and flows in a Poissonian city, Particle sieving in a random fiber network, Point sampling in areal-fraction analysis, Sur l'estimation du risque encouru en reconstruisant une forme aléatoire, A Shot-Noise Model for Paper Fibres with Non-uniform Random Orientations, Local convergence of the Boolean shell model towards the thick Poisson hyperplane process in the Euclidean space, Empirically-derived estimates of the complexity of labeling line drawings of polyhedral scenes, Empirical (Typical) Cells of the Poisson Medial Tessellation, 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, Proof of David Kendall's conjecture concerning the shape of large random polygons, Bayesian nonparametric binary regression via random tessellations, Local geometry of random geodesics on negatively curved surfaces, Towards understanding the non-Gaussian pore size distributions of nonwoven fabrics, The number of spanning trees of a complete multipartite graph, On a conjecture of D. G. Kendall concerning the planar Crofton cell and on its Brownian counterpart, Unnamed Item, Random polytopes: Their definition, generation and aggregate properties