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Second Annual French Complex Systems Summer School
Lyon and Paris, July 15-August 10, 2008
"The statistical physics of networks"Marc Barthélémy (CEA, France)
In this series of lectures, we will first introduce the main tools in order to characterize large complex networks and we will then review the typical empirical features of real-world networks. After this introduction, we will review the main models for complex networks, including static ones (Erdos-Renyi, Watts-strogatz, etc) and dynamical ones (preferential attachment, copy model, weighted networks).
In a second part, we will present two active areas of network research: First, we will review the main results on epidemic spreading in complex networks both at the level of individuals (contact network) and at a larger scale (metapopulation models). Then, we will see how the empirical measures of the roads network in cities can guide the modeling in the field of transportation research and urban economics.
Course Outline and Slides
- Part 1: Complex networks: Introduction Slides (part 1a) Slides (part 1b)
- Part 2: Tools and empirical results; models of complex networks Slides (part 2a) Slides (part 2b)
- Part 3: Spread of epidemics Slides (part 3a) Slides (part 3b)
- Part 4: Applications: Global spread of diseases; A simple model of the roads network formation and evolution Slides (part 4)