Mixed measures of convex cylinders and quermass densities of Boolean models

DOI10.1007/s10440-008-9269-4zbMath1180.52011OpenAlexW2077820865MaRDI QIDQ1038713

Lars Michael Hoffmann

Publication date: 20 November 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9269-4

zbMATH Keywords

Poisson processMinkowski functionalscurvature measurefibre processparticle processesspecific intrinsic volume

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Integral geometry (53C65) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (5)

Berry-Esseen bounds and Cramér-type large deviations for the volume distribution of Poisson cylinder processes ⋮ Anisotropic Poisson processes of cylinders ⋮ Concentration inequalities for functionals of Poisson cylinder processes ⋮ Estimating an even spherical measure from its sine transform. ⋮ Central Limit Theorems for Volume and Surface Content of Stationary Poisson Cylinder Processes in Expanding Domains

Cites Work

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• Anisotropic Poisson processes of cylinders
• Iterations of translative integral formulae and non-isotropic Poisson processes of particles
• Point processes of cylinders, particles and flats
• Translative integral formulae for convex bodies
• Translative and Kinematic Integral Formulae for Curvature Measures
• Quermaßdichten für Punktprozesse konvexer Körper und Boolesche Modelle

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