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Poisson Hyperplane Tessellations

By Daniel Hug

Poisson Hyperplane Tessellations Mathematics

Poisson Hyperplane Tessellations

By Daniel Hug

0 - Default Title
Description
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.
Product details
Binding:
Paperback
Number of Pages:
564
Release Date:
2025-05-24
Publication Date:
2025-05-24
Publisher:
Springer Nature Switzerland
Languages:
Original: English
ISBN10:
3031541065
ISBN13:
9783031541063
GPSR Manufacturer Reference:
[email protected]
Weight:
946 g
Height:
155 cm
Width:
235 cm
Thickness:
29 cm
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