Random tessellations: Stereological formulae in Euclidean space and Kendall's Problem in spherical space
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 |
| Publikationsjahr | 2016 |
| Sprache | Englisch |
| Identifikator | urn:nbn:de:swb:90-556276 KITopen-ID: 1000055627 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Mathematik (MATH) |
| Institut | Institut für Stochastik (STOCH) |
| Prüfungsdaten | 17.02.2016 |
| Schlagwörter | stochastic geometry, stereology, tessellations, spherical tessellations, Kendall's Conjecture |
| Nachgewiesen in | OpenAlex |
| Globale Ziele für nachhaltige Entwicklung | |
| Referent/Betreuer | Hug, D. |
