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URN: urn:nbn:de:swb:90-447776

The method of densities for non-isotropic Boolean models

Hörrmann, Julia

This thesis deals with the Boolean model, a basic model of stochastic geometry for the description of porous structures like the pore space in sand stone. The main result is a formula which gives in two and three dimensions a series representation of the most important model parameter, the intensity, using densities of so-called harmonic intrinsic volumes, which are new observable geometric quantities.

Zugehörige Institution(en) am KIT Institut für Stochastik (STOCH)
Publikationstyp Hochschulschrift
Jahr 2014
Sprache Englisch
Identifikator KITopen-ID: 1000044777
Verlag Karlsruhe
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Stochastik (STOCH)
Prüfungsdaten 22.10.2014
Referent/Betreuer Prof. D. Hug
Schlagworte Stochastic geometry; Boolean model; anisotropy; method of densities
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