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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Geometry

• Full title: Poisson Hyperplane Tessellations
• Author: Daniel Hug, Rolf Schneider
• Language: English
• Binding: Hardback
• Number of pages: 490
• EAN: 9783031541032
• ID: 44705927
• Publisher: Springer, Berlin
• Weight: 1106 g
• Dimensions: 235 × 155 mm
• Published: 2024

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