Lundi 6 février 2012 à 11h – salle 25-26/105
Dynamical systems taking place on networks, such as opinion dynamics, synchronization, consensus or random walks, reveal a lot about their structure. In particular we show, through a dynamical reinterpretation of well-known concepts, how centrality measures (such as pagerank, eigencentrality, etc.) and community detection quality functions (such as modularity, Potts, model, stability, etc.) are intimately related. The dynamical interpretation allows to design new centrality or community detection measures tailored for every particular application.