Random Networks for Communication

Erscheinungsjahr 2015
ISBN: 978-0-521-85442-9
Verlag: Cambridge University Press

Buch, Englisch, Band 24, 216 Seiten, Format (B × H): 183 mm x 260 mm, Gewicht: 603 g

Reihe: Cambridge Series in Statistical and Probabilistic Mathematics

When is a random network (almost) connected? How much information can it carry? How can you find a particular destination within the network? And how do you approach these questions - and others - when the network is random? The analysis of communication networks requires a fascinating synthesis of random graph theory, stochastic geometry and percolation theory to provide models for both structure and information flow. This book is the first comprehensive introduction for graduate students and scientists to techniques and problems in the field of spatial random networks. The selection of material is driven by applications arising in engineering, and the treatment is both readable and mathematically rigorous. Though mainly concerned with information-flow-related questions motivated by wireless data networks, the models developed are also of interest in a broader context, ranging from engineering to social networks, biology, and physics.

Autoren/Hrsg.

Franceschetti, Massimo

Meester, Ronald

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Mathematik | Informatik EDV | Informatik Computerkommunikation & -vernetzung
• Mathematik | Informatik Mathematik Stochastik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme

Inhaltsverzeichnis

Preface
1. Introduction
2. Phase transitions in infinite networks
3. Connectivity of finite networks
4. More on phase transitions
5. Information flow in random networks
6. Navigation in random networks
Appendix
References
Index.

Über Autor(innen)

Meester, Ronald
Ronald Meester is professor of mathematics at the Vrije Universiteit Amsterdam. He has published broadly in percolation theory, spatial random processes, self-organized criticality, ergodic theory, and forensic statistics and is the author of Continuum Percolation (with Rahul Roy) and A Natural Introduction to Probability Theory.

Franceschetti, Massimo
Massimo Franceschetti is assistant professor of electrical engineering at the University of California, San Diego. His work in communication system theory sits at the interface between networks, information theory, and electromagnetic wave propagation.