Integral geometry of translation invariant functionals. II: The case of general convex bodies

DOI10.1016/j.aam.2016.09.005zbMath1358.52010arXiv1508.01142OpenAlexW2964225834MaRDI QIDQ343839

Wolfgang Weil

Publication date: 29 November 2016

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01142

zbMATH Keywords

valuationsconvex bodiestranslation invariant functionaltranslative integral formula

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (5)

Valuations on Convex Bodies: The Classical Basic Facts ⋮ Valuations and Boolean Models ⋮ Kinematic formulae for tensorial curvature measures ⋮ Determination of Boolean models by densities of mixed volumes ⋮ Uniqueness of the measurement function in Crofton's formula

Cites Work

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• Minkowski tensor density formulas for Boolean models
• Measure-valued valuations and mixed curvature measures of convex bodies
• Mixed polytopes
• Translative and kinematic integral formulae for support functions. II
• On support measures in Minkowski spaces and contact distributions in stochastic geometry.
• Translative and kinematic integral formulae for support functions
• Integral geometry of translation invariant functionals. I: The polytopal case
• Densities of mixed volumes for Boolean models
• Stochastic and Integral Geometry
• Flag Measures for Convex Bodies
• EXTENSIONS OF TRANSLATION INVARIANT VALUATIONS ON POLYTOPES
• Convex Bodies The Brunn-MinkowskiTheory

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