Synopses & Reviews
The availability of large data sets have allowed researchers to uncover complex properties such as large scale fluctuations and heterogeneities in many networks which have lead 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. For example, a vast number of everyday systems, from the brain to ecosystems, power grids and the Internet, can be represented as large complex networks. This new and recent account presents a comprehensive explanation of these effects.
Review
"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
Review
"... 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
Review
"... 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
Synopsis
An in-depth account on complex connectivity patterns for graduates and researchers in statistical mechanics, mathematical biology and information science.
Synopsis
An in-depth account on the effect of complex connectivity patterns on dynamical phenomena, 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 easily access the sections of most interest to them.
About the Author
Alain Barrat is a Senior Researcher at the Laboratoire de Physique Théorique (CNRS and Université de Paris-Sud, France), and the Complex Networks Lagrange Laboratory 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 Département de Physique Théorique et Appliquée at the Commissariat ... l'Énergie Atomique (CEA), France. His research interests are in the application of statistical physics to complex systems.Alessandro Vespignani is Professor of Informatics and Adjunct Professor of Physics and Statistics at Indiana University, USA, and Director of the Complex Network Lagrange Laboratory at the Institute for Scientific Interchange in Torino, Italy. His research interests are in the theoretical and computational modeling of complex systems and networks.
Table of Contents
1. Preliminaries: networks and graphs; 2. Networks and complexity; 3. Network models; 4. Introduction to dynamical processes: theory and simulation; 5. Phase transitions on complex networks; 6. Resilience and robustness of networks; 7. Synchronization phenomena in networks; 8. Walking and searching on networks; 9. Epidemic spreading in population networks; 10. Social networks and collective behaviour; 11. Traffic on complex networks; 12. Networks in biology; 13. Postface: critically examining complex networks science; Appendixes; References; Index.