Poisson Hyperplane Tessellations

Poisson Hyperplane Tessellations

Schneider, Rolf; Hug, Daniel

Springer International Publishing AG

05/2024

550

Dura

9783031541032

15 a 20 dias

Descrição não disponível.
- 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.
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Poisson Process;Hyperplane Tessellation;Random Mosaic;Zero Cell;Typical Face;Functional Density;Matheron Zonoid;Intersection Density;Ergodicity;Mixing Property;Observation in a Window;Central Limit Theorem;Palm Distributions;Kendall's Problem;Hyperbolic Mosaics