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.
| ISBN: | 9783031541063 |
| Publication date: | 24th May 2025 |
| Author: | Daniel Hug, Rolf Schneider |
| Publisher: | Springer an imprint of Springer Nature Switzerland |
| Format: | Paperback |
| Pagination: | 550 pages |
| Series: | Springer Monographs in Mathematics |
| Genres: |
Geometry Stochastics Probability and statistics |
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.
Poisson Hyperplane Tessellations features in the following genres: Geometry, Stochastics, Probability and statistics
Poisson Hyperplane Tessellations is available in Paperback
Poisson Hyperplane Tessellations was written by Daniel Hug, Rolf Schneider and published by Springer an imprint of Springer Nature Switzerland
Poisson Hyperplane Tessellations has 550 pages
Yes it is part of Springer Monographs in Mathematics series
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