Overview
- Handles the entire circle that covers problem description, stochastic modeling, mathematical theorems and applications
- A large span of elements of functionalities is covered
- The list of applications reaches the boundaries of contemporary research and opens new horizons for future probabilistic investigations at many edges
- Technicalities are largely omitted, but their nature is concisely explained
Part of the book series: Compact Textbooks in Mathematics (CTM)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Probabilistic modeling and analysis of spatial telecommunication systems have never been more important than they are today. In particular, it is an essential research area for designing and developing next-generation communication networks that are based on multihop message transmission technology. These lecture notes provide valuable insights into the underlying mathematical discipline, stochastic geometry, introducing the theory, mathematical models and basic concepts. They also discuss the latest applications of the theory to telecommunication systems.
The text covers several of the most fundamental aspects of quality of service: connectivity, coverage, interference, random environments, and propagation of malware. It especially highlights two important limiting scenarios of large spatial systems: the high-density limit and the ergodic limit. The book also features an analysis of extreme events and their probabilities based on the theory of large deviations.Lastly, it includes a large number of exercises offering ample opportunities for independent self-study.
Reviews
“The exposition is succinct, very clear, and mostly self-contained, with corresponding references for the omitted proofs of the more technical results. … In addition, it contains numerous illuminating examples and exercises of various levels of difficulty. These features make the book suitable for both those wanting to familiarize themselves with the field and established researchers. Therefore, it is highly recommended to anyone interested in stochastic geometry, random point processes, and their applications.” (Vladimir V. Fomichov,Mathematical Reviews, May, 2022)
Authors and Affiliations
About the authors
Prof. Dr. Wolfgang König is Head of the Research Group "Interacting Random Systems" at the Weierstrass Institute in Berlin, Germany.
Bibliographic Information
Book Title: Probabilistic Methods in Telecommunications
Authors: Benedikt Jahnel, Wolfgang König
Series Title: Compact Textbooks in Mathematics
DOI: https://doi.org/10.1007/978-3-030-36090-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-36089-4Published: 18 June 2020
eBook ISBN: 978-3-030-36090-0Published: 17 June 2020
Series ISSN: 2296-4568
Series E-ISSN: 2296-455X
Edition Number: 1
Number of Pages: XI, 200
Number of Illustrations: 4 b/w illustrations, 17 illustrations in colour