Dynamical processes on complex networks (2/4)
Marc Barthélemy
Fri, Jan. 15th 2010, 10:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers

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 real-world networks \\ - Examples of processes: from synchronization to the voter model \\ \\ 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. \\ \\ \\ (Cour organisé en collaboration avec l'Ecole Doctorale de Physique de la Région Parisienne - ED 107)

Contact : Riccardo GUIDA


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