Minkowski tensor density formulas for Boolean models

DOI10.1016/j.aam.2014.01.001zbMath1308.60019arXiv1307.0756OpenAlexW2962848433MaRDI QIDQ401505

Daniel Hug, Michael Andreas Klatt, Julia Hörrmann, Klaus R. Mecke

Publication date: 27 August 2014

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

Full work available at URL: https://arxiv.org/abs/1307.0756

zbMATH Keywords

anisotropystochastic geometrystationarityPoisson processBoolean modelMinkowski tensorstranslative integral geometry

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Geometric probability and stochastic geometry (60D05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) 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

Valuations and Boolean Models ⋮ Second Order Analysis of Geometric Functionals of Boolean Models ⋮ Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors ⋮ Local tensor valuations ⋮ Integral geometry of translation invariant functionals. II: The case of general convex bodies ⋮ Characterization of anisotropic Gaussian random fields by Minkowski tensors ⋮ Mixed curvature measures of translative integral geometry ⋮ Rotation covariant local tensor valuations on convex bodies ⋮ Anisotropy in finite continuum percolation: threshold estimation by Minkowski functionals ⋮ Kinematic formulae for tensorial curvature measures

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