Evolution and Structure of the Internet: A Statistical Physics Approach

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"This book describes the application of statistical physics and complex systems theory to the study of the evolution and structure of the Internet." "The presentation focuses on statistical regularities observed in the large-scale structure of the network, the so-called "global Internet" as well as on the importance of dynamics in the formulation of adequate models. Using this approach it is possible to provide a unified picture of results obtained on the Internet in the context of different scientific communities. This makes use of methods and concepts that have proven to be extremely useful in the analysis of more classical statistical physics systems, such as percolation theory, mean-field methods, and cellular automata simulations." This book will be of interest to graduate students and researchers in statistical physics, computer science, and mathematics studying the structure and evolution of the internet.
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Editorial Reviews

From the Publisher
"...a good point of reference or entry-level introduction to complex networks ... definitely an interesting read."
Journal of Statistical Physics
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Product Details

  • ISBN-13: 9780521714778
  • Publisher: Cambridge University Press
  • Publication date: 9/20/2007
  • Edition description: Reissue
  • Pages: 284
  • Product dimensions: 6.85 (w) x 9.72 (h) x 0.59 (d)

Meet the Author

Romualdo Pastor-Satorras got his PhD at the University of Barcelona. He has been research fellow at Yale University and research assistant at the Massachusetts Institute of Technology in Boston. He spent two years as a research fellow at the International Center for Theoretical Physics (UNESCO) and then moved back to Spain in 2000 as Assistant Professor at the University of Barcelona. Since 2001, Pastor-Satorras has been research scientist and lecturer at the Universitat Politecnica de Catalunya. He is the author of more than 40 research papers in different areas of non-equilibrium statistical physics, condensed matter theory and complex systems analysis.

Alessandro Vespignani obtained his PhD at the University of Rome 'La Sapienza'. After holding research positions at Yale and Leiden University, he joined the condensed matter research group at the International Center for Theoretical Physics (UNESCO) in Trieste. He has authored more than 100 scientific papers on the statistical physics of non-equilibrium phenomena, critical phase transitions and complex and disordered systems. At present he is senior research scientist of the CNRS, at the Université de Paris-Sud, France.

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Table of Contents

List of abbreviations
1 A brief history of the Internet 1
2 How the Internet works 10
3 Measuring the global Internet 19
4 The Internet's large-scale topology 36
5 Modeling the Internet 69
6 Internet robustness 112
7 Virtual and social networks in the Internet 140
8 Searching and walking on the Internet 166
9 Epidemics in the Internet 180
10 Beyond the Internet's skeleton: traffic and global performance 211
11 Outlook 226
App. 1 Graph theory applied to topology analysis 229
App. 2 Interface resolution and router topology 238
App. 3 Numerical analysis of heavy tailed distributions 240
App. 4 Degree correlations 243
App. 5 Scale-free networks: scaling relations 246
App. 6 The SIR model of virus propagation 249
References 253
Index 265
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