Exact moments of curvature measures in the Boolean model

DOI10.1023/A:1004800714563zbMath0999.82038OpenAlexW2102108900MaRDI QIDQ5942291

Klaus R. Mecke

Publication date: 28 August 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004800714563

zbMATH Keywords

Euler characteristiccurvature measuresintegral geometryMinkowski functionalsspatial patternsrandom setsBoolean modelcurvature integralscurvature-weighted correlation functionsrandom geometries

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (8)

Second Order Analysis of Geometric Functionals of Boolean Models ⋮ Mean geometry for 2D random fields: level perimeter and level total curvature integrals ⋮ Anisotropy in finite continuum percolation: threshold estimation by Minkowski functionals ⋮ Simulating stochastic geometries: Morphology of overlapping grains ⋮ On Second‐Order Characteristics of Germ‐Grain Models with Convex Grains ⋮ On the mean Euler characteristic and mean Betti’s numbers of the Ising model with arbitrary spin ⋮ The surface pair correlation function for stationary Boolean models ⋮ Second-order properties and central limit theorems for geometric functionals of Boolean models

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