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Poisson Hyperplane Tessellations (Springer Monographs in Mathematics)

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This book is the first comprehensive presentation of a central topic of stochastic 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 , and professional mathematicians. The book can also serve as a reference for researchers in fields of physics, computer science, economics or engineering.

Language: English

Pages: 561

Format: Hardcover

Release: May 24, 2024

ISBN 13: 9783031541032

Poisson Hyperplane Tessellations (Springer Monographs in Mathematics)

0/5 ( ratings)

This book is the first comprehensive presentation of a central topic of stochastic 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 , and professional mathematicians. The book can also serve as a reference for researchers in fields of physics, computer science, economics or engineering.

Language: English

Pages: 561

Format: Hardcover

Release: May 24, 2024

ISBN 13: 9783031541032

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