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Dynamical Processes on Complex Networks

ISBN-10: 0521879507

ISBN-13: 9780521879507

Edition: 2009

Authors: Alessandro Vespignani, Alain Barrat, Marc Barth�lemy

List price: $103.00
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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.
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Book details

List price: $103.00
Copyright year: 2009
Publisher: Cambridge University Press
Publication date: 10/23/2008
Binding: Hardcover
Pages: 366
Size: 7.00" wide x 9.75" long x 0.75" tall
Weight: 1.914
Language: English

Marc Barth�lemy is Senior Researcher at the Institute for Theoretical Physics (IPhT) at the Commissariat ... l'#201;nergie Atomique et aux Energies Alternatives (CEA), France. His research interests are in the application of statistical physics to complex systems.

List of abbreviations
Preliminaries: networks and graphs
What is a network?
Basic concepts in graph theory
Statistical characterization of networks
Weighted networks
Networks and complexity
Real-world systems
Network classes
The complicated and the complex
Network models
Randomness and network models
Exponential random graphs
Evolving networks and the non-equilibrium approach
Modeling higher order statistics and other attributes
Modeling frameworks and model validation
Introduction to dynamical processes: theory and simulation
A microscopic approach to dynamical phenomena
Equilibrium and non-equilibrium systems
Approximate solutions of the Master Equation
Agent-based modeling and numerical simulations
Phase transitions on complex networks
Phase transitions and the Ising model
Equilibrium statistical physics of critical phenomena
The Ising model in complex networks
Dynamics of ordering processes
Phenomenological theory of phase transitions
Resilience and robustness of networks
Damaging networks
Percolation phenomena as critical phase transitions
Percolation in complex networks
Damage and resilience in networks
Targeted attacks on large degree nodes
Damage in real-world networks
Synchronization phenomena in networks
General framework
Linearly coupled identical oscillators
Non-linear coupling: firing and pulse
Non-identical oscillators: the Kuramoto model
Synchronization paths in complex networks
Synchronization phenomena as a topology probing tool
Walking and searching on networks
Diffusion processes and random walks
Diffusion in directed networks and ranking algorithms
Searching strategies in complex networks
Epidemic spreading in population networks
Epidemic models
Epidemics in heterogeneous networks
The large time limit of epidemic outbreaks
Immunization of heterogeneous networks
Complex networks and epidemic forecast
Social networks and collective behavior
Social influence
Rumor and information spreading
Opinion formation and the Voter model
The Axelrod model
Prisoner's dilemma
Coevolution of opinions and network
Traffic on complex networks
Traffic and congestion
Traffic and congestion in distributed routing
Stylized models and real-world infrastructures
Networks in biology: from the cell to ecosystems
Cell biology and networks
Flux-balance approaches and the metabolic activity
Boolean networks and gene regulation
The brain as a network
Ecosystems and food webs
Future directions
Postface: critically examining complex networks science
Random graphs
Generating functions formalism
Percolation in directed networks
Laplacian matrix of a graph
Return probability and spectral density