Poisson Hyperplane Tessellations
Produktnummer:
1834d1b7dedb5d4a4cbd5d48c7f9f4e456
| Autor: | Hug, Daniel Schneider, Rolf |
|---|---|
| Themengebiete: | Ergodicity Functional Density Hyperplane Tessellation Intersection Density Matheron Zonoid Mixing Property Poisson Process Random Mosaic Typical Face Zero Cell |
| Veröffentlichungsdatum: | 24.05.2025 |
| EAN: | 9783031541063 |
| Sprache: | Englisch |
| Seitenzahl: | 550 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
Produktinformationen "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 properties of Poisson processes and the long-range influence of hyperplanes lead to a wide range of phenomena which are of interest from both a geometric and a probabilistic point of view. A Poisson hyperplane tessellation generates many random polytopes, also a much-studied object of stochastic geometry. The book offers a variety of different perspectives and covers in detail all aspects studied in the original literature. The work will be useful to graduate students (advanced students in a Master program, PhD students), and professional mathematicians. The book can also serve as a reference for researchers in fields of physics, computer science, economics or engineering.
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