Dynamical Processes on Complex Networks [NOOK Book]

Overview

The availability of large data sets has allowed researchers to uncover complex properties such as large-scale fluctuations and heterogeneities in many networks, leading to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. This book presents a comprehensive account of these ...
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Dynamical Processes on Complex Networks

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Overview

The availability of large data sets has allowed researchers to uncover complex properties such as large-scale fluctuations and heterogeneities in many networks, leading to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. This book presents a comprehensive account of these effects. A vast number of systems, from the brain to ecosystems, power grids and the Internet, can be represented as large complex networks. This book will interest graduate students and researchers in many disciplines, from physics and statistical mechanics to mathematical biology and information science. Its modular approach allows readers to readily access the sections of most interest to them, and complicated maths is avoided so the text can be easily followed by non-experts in the subject.
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Editorial Reviews

From the Publisher
"An excellent introduction book on the statistical mechanics approach of networks... I believe that this book has contributed another step in integrating the vast multi-disciplinary approaches in network science."
Laurent Tambayong, Journal of Artificial Societies and Social Simulation

"... the book does a terrific and admirable job at putting some order into the wealth of research that has emerged during the last decade, providing an overview of the current state of the art, and guiding the reader to relevant sources of information. The impressive body of techniques and applications covered in the book gives a resounding answer to the critics, perhaps more convincing than the arguments at the book’s end. This is a fantastic resource book on dynamical processes on complex networks, and its wide scope promises to keep it relevant for several years to come."
Daniel ben-Avraham, Journal of Statistical Physics

"... a very useful book that fills an important gap in the market of books on networks. I will be opening this book whenever I want to start modeling a dynamical process on a network."
Dr Tim Evans, Imperial College London for Contemporary Physics

"The book does a remarkably good job in getting to the mathematical foundations of dynamical processes and complex networks. Hence, it should belong in the bookshelf of any sociologist who is seriously interested in complex and dynamic networks. It gives a great overview of techniques in the field and provides the mathematical depth one wishes for in a manner sociologists can understand. In sum, the book has potential to become a reference like Wasserman and Faust (1994) and offers significant (technical) value to sociologists who seriously want to get into the mathematics behind dynamical processes and complex networks."
Thomas U. Grund, Universite de Montreal for Journal of Mathematical Sociology

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Product Details

  • ISBN-13: 9781139235037
  • Publisher: Cambridge University Press
  • Publication date: 7/27/2012
  • Sold by: Barnes & Noble
  • Format: eBook
  • File size: 12 MB
  • Note: This product may take a few minutes to download.

Meet the Author

Alain Barrat is Senior Researcher at the Centre de Physique Théorique (CNRS and Aix-Marseille University, France) and at the Institute for Scientific Interchange in Turin, Italy. His research interests are in the field of out-of-equilibrium statistical mechanics.

Marc Barthélemy is Senior Researcher at the Institute for Theoretical Physics (IPhT) at the Commissariat à l'Énergie Atomique et aux Energies Alternatives (CEA), France. His research interests are in the application of statistical physics to complex systems.

Alessandro Vespignani is Sternberg Distinguished Professor in Physics, Computer Science and Health Science at Northeastern University, USA. He is also Fellow of the Institute for Quantitative Social Sciences at Harvard University and Scientific Director of the Institute for Scientific Interchange Foundation in Italy.

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Table of Contents

1 Preliminaries : networks and graphs 1

2 Networks and complexity 24

3 Network models 50

4 Introduction to dynamical processes : theory and simulation 77

5 Phase transitions on complex networks 92

6 Resilience and robustness of networks 116

7 Synchronization phenomena in networks 136

8 Walking and searching on networks 160

9 Epidemic spreading in population networks 180

10 Social networks and collective behavior 216

11 Traffic on complex networks 242

12 Networks in biology : from the cell to ecosystems 267

13 Postface : critically examining complex network science 294

App. 1 Random graphs 298

App. 2 Generating functions formalism 303

App. 3 Percolation in directed networks 306

App. 4 Laplacian matrix of a graph 310

App. 5 Return probability and spectral density 311

References 313

Index 344

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