(updated October 14, 2016)
Monday, 15 May, morning (9.30-12.30)
Introduction to Networks (Bianconi): Networks and complex systems, a general introduction. Structural properties of networks: from the local quantities (degree, clustering coefficient, motifs) to mesoscale (communities) and global quantities (diameter, degree distributions). Models of networks: growing network models, configuration model, exponential random graphs. Interplay between structure and dynamics on complex networks: percolation, epidemic spreading and synchronization.
Monday, 15 May, afternoon (14.30-17.30)
Continuous-state Dynamics on Networks (Gross): Modelling networks of continuous variables. Adjacency, Laplacian, Jacobian, and other matrix approaches. Tools from matrix theory. Generalized models. Multilayer dynamics. Bifurcations and phase transitions in continuous network dynamics.
Tuesday, 16 May, morning (9.30-12.30)
Discrete-state Dynamics on Networks (Gleeson): Binary-state models, discrete-time and continuous time models. Biological contagions (disease-spread models). Social contagions (threshold models). Mean-field, pair approximations, and beyond. Branching processes.
Tuesday, 16 May, afternoon
Wednesday, 17 May, morning (9.30-12.30)
Multilayer Networks (Bianconi): Why do we need multilayer networks? Network of networks, multiplex networks and multislice networks. Multilayer networks encode more information than single layer taken in isolation: multilinks, overlap, multilayer communities, and centrality measures. Models of multilayer networks: from growing models to multilayer network ensembles, and tensor models. Interplay between multiplexity and dynamics: percolation, random walk and epidemic spreading.
Wednesday, 17 May, afternoon (14.30-17.30)
short talks by students (see page Application)
Wednesday, 17 May, evening (19.30)
Thursday, 18 May, morning (9.30-12.30)
Evolutionary Game Theory and Human Behavior (Moreno): Introduction to game theory. Evolutionary rules, replicator equation. Evolution of cooperation. Evolutionary Graph Theory. Social Dilemmas. N-person games. Behavioral response in humans (experimental results). Open problems and future challenges.
Thursday, 18 May, afternoon
Friday, 19 May, morning (9.30-12.30)
Computational Social Science/1 – Unconventional Approaches to Collective Behavior: Information and Urban ecosystems (Borge-Holthoefer): Bidirectional links between Sociology and Complex Systems. Empirical social networks. Unipartite view: information spreading and influence. Bipartite view: natural and social “ecosystems”. Bipartite networks methods: mesoscale pattern detection (modularity, nestedness). Information ecosystems: growth and structural evolution. Spatial ecosystems. Future directions: nested multilayers.
Friday, 19 May, afternoon (14.30-17.30)
Computational Social Science/2 (Cattuto): Measuring social networks in physical space: mobility and proximity, informal social networks, physical proxies for social links and contacts, wearable sensors and smartphones. Structural and temporal properties of close-range proximity networks in various empirical contexts. Sampling and reconstruction of time-varying social networks. Homophily in social networks, social influence and social selection. Meso-scale structure of time-varying social networks and its impact on spreading processes.