Iterations of translative integral formulae and non-isotropic Poisson processes of particles

DOI10.1007/BF02571261zbMath0693.52001MaRDI QIDQ908515

Wolfgang Weil

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174193

zbMATH Keywords

densitiesconvex bodiescurvature measuresquermassintegralsconvex ringstationary Poisson processtranslative integral formulae

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Integral geometry (53C65) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (15)

Valuations and Boolean Models ⋮ Translative and kinematic integral formulae for support functions ⋮ Mixed curvature measures for sets of positive reach and a translative integral formula ⋮ Integral geometry in Minkowski spaces ⋮ Mixed curvature measures of translative integral geometry ⋮ Minkowski tensor density formulas for Boolean models ⋮ The determination of convex bodies from the mean of random sections ⋮ Quermaßdichten für Punktprozesse konvexer Körper und Boolesche Modelle ⋮ Anisotropy in finite continuum percolation: threshold estimation by Minkowski functionals ⋮ Concentration inequalities for functionals of Poisson cylinder processes ⋮ Centrally symmetric convex bodies and Radon transforms on higher order Grassmannians ⋮ Mixed measures of convex cylinders and quermass densities of Boolean models ⋮ Closed form of the rotational Crofton formula ⋮ Poisson approximation in connection with clustering of random points ⋮ Translative and Kinematic Formulae for Curvature Measures of Flat Sections

Cites Work

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