Poisson Hyperplane Tessellations

Name: Poisson Hyperplane Tessellations
Brand: Springer
SKU: 9783031541063
Price: 6805.0 INR
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by Daniel Hug , Rolf Schneider

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ISBN13: 9783031541063
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: January 1, 2024
Pages: 561
Original Price: EUR 92.64
Language: English
Edition: N/A
Item Weight: 944 grams
BISAC Subject(s): Geometry / General

About The Book

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.

About The Author

Daniel Hug: Born 1965, Studies of Mathematics and Physics in Freiburg, Diploma 1991, PhD 1994 and Habilitation 2000 in Mathematics (Univ. Freiburg). Assistant Professor at TU Vienna (2000), 2000--2005 Assistant/Associate Professor Univ. Freiburg, 2005--2007 trained and acted as a High School Teacher, 2007 Professor Univ. Duisburg-Essen, 2007--2011 Associate Professor in Karlsruhe, Professor in Karlsruhe (KIT) since 2011.
Rolf Schneider: Born 1940, Studies of Mathematics and Physics in Frankfurt/M, Diploma 1964, PhD 1967 (Frankfurt), Habilitation 1969 (Bochum), 1970 Wissenschaftlicher Rat and Professor Univ. Frankfurt, 1970 Professor TU Berlin, 1974 Professor Univ. Freiburg, 2003 Dr. h.c. Univ. Salzburg, 2005 Emeritus.

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