Epidemics and Rumours in Complex Networks

Erscheinungsjahr 2014
ISBN: 978-0-521-73443-1
Verlag: Cambridge University Press

Buch, Englisch, Band 369, 130 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 201 g

Reihe: London Mathematical Society Lecture Note Series

Information propagation through peer-to-peer systems, online social systems, wireless mobile ad hoc networks and other modern structures can be modelled as an epidemic on a network of contacts. Understanding how epidemic processes interact with network topology allows us to predict ultimate course, understand phase transitions and develop strategies to control and optimise dissemination. This book is a concise introduction for applied mathematicians and computer scientists to basic models, analytical tools and mathematical and algorithmic results. Mathematical tools introduced include coupling methods, Poisson approximation (the Stein–Chen method), concentration inequalities (Chernoff bounds and Azuma–Hoeffding inequality) and branching processes. The authors examine the small-world phenomenon, preferential attachment, as well as classical epidemics. Each chapter ends with pointers to the wider literature. An ideal accompaniment for graduate courses, this book is also for researchers (statistical physicists, biologists, social scientists) who need an efficient guide to modern approaches to epidemic modelling on networks.

Autoren/Hrsg.

Draief, Moez

Massoulié, Laurent

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizinische Mathematik & Informatik

Inhaltsverzeichnis

Introduction; Part I. Shapeless Networks: 1. Galton-Watson branching processes; 2. Reed-Frost epidemics and Erdos-Rényi random graphs; 3. Connectivity and Poisson approximation; 4. Diameter of Erdos-Rényi graphs; 5. From microscopic to macroscopic dynamics; Part II. Structured Networks: 6. The small-world phenomenon; 7. Power laws via preferential attachment; 8. Epidemics on general graphs; 9. Viral marketing and optimised epidemics; References; Index.

Über Autor(innen)

Massoulié, Laurent
Laurent Massoulié is Senior Researcher at Thomson Corporate Research in Paris. He has been the recipient of several best paper awards including ACM CoNEXT 2007.

Draief, Moez
Moez Draief is Assistant Professor in the Department of Electrical and Electronic Engineering at Imperial College, London.