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Probabilistic Methods for Spatial Multihop Communication Systems

  • 2019
  • OriginalPaper
  • Chapter
Published in:
Authors
Benedikt Jahnel
Wolfgang König
Published in
Topics in Applied Analysis and Optimisation
Publisher
Springer International Publishing

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Abstract

We present and comment some recent modeling and results from stochastic geometry about the functionality of spatial communication networks with a multihop system of message transmissions. Our novel approaches concern connectivity on random street systems, frustration probabilities for service quality under constraints with regard to interference and capacity, and a new model of random message routing. Our main focus is on the description of the influence of spatial aspects, predominantly the locations of all the users. As a leading mathematical tool, we introduce the probabilistic theory of large deviations to the study of such systems in a high-density situation.

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previous chapter Consequences of Uncertain Friction for the Transport of Natural Gas through Passive Networks of Pipelines
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Title
Probabilistic Methods for Spatial Multihop Communication Systems
Authors
Benedikt Jahnel
Wolfgang König
Copyright Year
2019
Book
Topics in Applied Analysis and Optimisation

Print ISBN: 978-3-030-33115-3

Electronic ISBN: 978-3-030-33116-0

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-33116-0_10

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