On the Geometric Densities of Random Closed Sets

DOI10.1080/07362990802128396zbMath1151.60005OpenAlexW2069427067MaRDI QIDQ3518305

Elena Villa, Vincenzo Capasso

Publication date: 7 August 2008

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362990802128396

zbMATH Keywords

stochastic geometryEvolution equationsdelta formalismGrowth processesRandom distributions

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Stochastic integrals (60H05) Length, area, volume, other geometric measure theory (28A75) Random linear operators (47B80) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (8)

On the estimation of the mean density of random closed sets ⋮ On the mathematical modelling of tumor-induced angiogenesis ⋮ A germ-grain model applied to the morphological study of dual phase steel ⋮ On the approximation of mean densities of random closed sets ⋮ Large and moderate deviations for kernel-type estimators of the mean density of Boolean models ⋮ Extreme values for characteristic radii of a Poisson-Voronoi tessellation ⋮ Mean Densities and Spherical Contact Distribution Function of Inhomogeneous Boolean Models ⋮ On the mean field approximation of a stochastic model of tumour-induced angiogenesis

Cites Work

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• Random integral equations
• Linear processes in function spaces. Theory and applications
• Modelling multi-dimensional crystallization of polymers in interaction with heat transfer.
• Geometric measure theory.
• Survival Functions and Contact Distribution Functions for Inhomogeneous, Stochastic Geometric Marked Point Processes
• Front Propagation and Phase Field Theory

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