Dynamical Processes on Complex Networks

Erscheinungsjahr 2012
ISBN: 978-1-107-62625-6
Verlag: Cambridge University Press

Buch, Englisch, 361 Seiten, Format (B × H): 172 mm x 246 mm, Gewicht: 664 g

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.

Autoren/Hrsg.

Barrat, Alain

Barthélemy, Marc

Vespignani, Alessandro

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Berechenbarkeitstheorie, Komplexitätstheorie
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

Preface; Acknowledgements; List of abbreviations; 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 behavior; 11. Traffic on complex networks; 12. Networks in biology: from the cell to ecosystems; 13. Postface: critically examining complex networks science; Appendixes; References; Index.

Über Autor(innen)

Barthélemy, Marc
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.

Vespignani, Alessandro
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.

Barrat, Alain
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.

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.