Poisson Hyperplane Tessellations : Springer Monographs in Mathematics - Daniel Hug

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Poisson Hyperplane Tessellations

By: Daniel Hug, Rolf Schneider

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Hardcover | 24 May 2024 | Edition Number 2024

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Hardcover
550 Pages

Dimensions(cm)
23.5 x 15.5

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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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