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Random tessellations: Stereological formulae in Euclidean space and Kendall's Problem in spherical space

Reichenbacher, Andreas

Abstract (englisch): In the first part of this thesis, a stationary tessellation in Euclidean space and its intersection with a linear subspace are considered. The main result of this part is a relation between the Palm measures of a random measure living on the original tessellation and a random measure living on the intersection. In the second part, tessellations in spherical space are investigated. A spherical analogue of what became known as 'Kendall's Problem' is formulated and investigated.

Zugehörige Institution(en) am KIT Institut für Stochastik (STOCH)
Publikationstyp Hochschulschrift
Jahr 2016
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000055627
URN: urn:nbn:de:swb:90-556276
KITopen ID: 1000055627
Verlag Karlsruhe
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Stochastik (STOCH)
Prüfungsdaten 17.02.2016
Referent/Betreuer Prof. D. Hug
Schlagworte stochastic geometry, stereology, tessellations, spherical tessellations, Kendall's Conjecture
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