Poisson Hyperplane Tessellations
This book is the first comprehensive presentation of a central topic of stochastic geometry: random mosaics that are generated by Poisson processes of hyperplanes. It thus connects a basic notion from probability theory, Poisson processes, with a fundamental object of geometry. The independence prop...
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| Hoofdauteurs: | , |
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| Coauteur: | |
| Formaat: | Elektronisch E-boek |
| Taal: | Engels |
| Gepubliceerd in: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Editie: | 1st ed. 2024. |
| Reeks: | Springer Monographs in Mathematics,
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| Onderwerpen: | |
| Online toegang: | https://doi.org/10.1007/978-3-031-54104-9 |
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Inhoudsopgave:
- - 1 Notation
- 2 Hyperplane and particle processes
- 3 Distribution-independent density relations
- 4 Poisson hyperplane processes
- 5 Auxiliary functionals and bodies
- 6 Zero cell and typical cell
- 7 Mixing and ergodicity
- 8 Observations inside a window
- 9 Central limit theorems
- 10 Palm distributions and related constructions
- 11 Typical faces and weighted faces
- 12 Large cells and faces
- 13 Cells with a given number of facets
- 14 Small cells
- 15 The K-cell under increasing intensities
- 16 Isotropic zero cells
- 17 Functionals of Poisson processes and applications
- 18 Appendix: Some auxiliary results.