Dynamical processes on complex networks

Marc Barthélémy (IPhT)

2010-01-08 10:00, Salle Itzykson, IPhT
2010-01-15 10:00, Salle Itzykson, IPhT
2010-01-22 10:00, Salle Itzykson, IPhT
2010-02-05 10:00, Salle Itzykson, IPhT
Approved by the École Doctorale ED 107

In this set of lectures, I will provide a general introduction to complex networks and to some research themes in dynamical processes on such structures.

These lectures are aimed to a non-specialist audience with a minimal knowledge of probability theory.

The tentative plan is:

  1. Introduction: Complex networks, dynamical processes
    • Examples of processes: from synchronization to the voter model
    • Examples of real-world networks
  2. Models of complex networks
    • The archetype: Erdos-Renyi random graph
    • A small-world: Watts-Strogatz
    • Broad degree and weight distributions: Barabasi-Albert and variants
  3. Percolation and failure cascades on complex networks
    • Motivation
    • General results
    • Importance of the degree distribution: percolation threshold for scale-free networks
  4. Epidemic spread on complex networks
    • Spread of diseases over contact networks; rumor spread
    • Spread of diseases in metapopulation models: mean-field approach; fluctuations and existence of a pandemic threshold
IPhT Courses
Short course title: 
Complex networks
Arxiv classes: