Epidemics and Rumours in Complex Networks - Brossura

Draief, Moez

Brossura

ISBN 10: 0521734436 ISBN 13: 9780521734431

Casa editrice: Cambridge University Press, 2009

Riassunto

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.

Su questo libro

Recensione:

'this is a nice introduction, at the level of a graduate course, to the propagation of biological epidemics and the spread of rumours in networks, aimed at students in computer science and applied probability.' Zentralblatt MATH

Descrizione del libro:

This concise introduction to basic models, analytical tools and mathematical and algorithmic results is an ideal accompaniment for graduate courses. It is also for researchers (statistical physicists, biologists, social scientists) who need an efficient guide to modern approaches to epidemic modelling on networks.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2009
• ISBN 10: 0521734436
• ISBN 13: 9780521734431
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 130