Random Geometric Graphs, 9780198506263
Hardcover
Random points, nearby connections: Explore the math behind spatial networks.

Random Geometric Graphs

$180.79

  • Hardcover

    344 pages

  • Release Date

    1 May 2003

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Summary

Random Geometric Graphs: A Mathematical Exploration

This monograph presents a comprehensive mathematical theory for finite graphs with nodes randomly placed in Euclidean space, where edges connect nearby points. Unlike classical random graph models, these geometric graphs are ideal for modeling real-world networks with spatial elements, found in diverse fields such as wireless communications, parallel processing, classification, epidemiology, astronomy, and the internet.

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Book Details

ISBN-13:9780198506263
ISBN-10:0198506260
Series:Oxford Studies in Probability
Author:Mathew Penrose
Publisher:Oxford University Press
Imprint:Oxford University Press
Format:Hardcover
Number of Pages:344
Release Date:1 May 2003
Weight:649g
Dimensions:241mm x 162mm x 23mm
What They're Saying

Critics Review

The book is suitable to design a graduate course in random geometric graphs. Its scope stretches far beyond geometric probability and includes exciting material from Poisson approximation, percolation and statistical physics. This elegantly written monograph belongs to the collection of important books vital for every probabilist. Zentralblatt MATH

About The Author

Mathew Penrose

Peter Morters is a professor of probability at the University of Bath. Receiving his PhD from the University of London in the area of geometric measure theory, his current interests focus on Brownian motion and random walk, stochastic processes in random environments, large deviation theory and, more recently, random networks.

Roger Moser is a lecturer of mathematics at the University of Bath. He received his PhD from the Eidgenossische Technische Hochschule Zurich in the area of geometric analysis. Further current research interests include the theory of partial differential equations.

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