Poisson Hyperplane Tessellations (Springer Monographs in Mathematics) free ebook download.

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Poisson Hyperplane Tessellations (Springer Monographs in Mathematics) free ebook download

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Mathematics

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Author(s):	Daniel Hug

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	3031541030
Pages:	561	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	6/27/2024 6:33:16 AM

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3031541030 pdf
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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Tags: Hyperplane Mathematics Monographs Poisson Springer Tessellations

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