Giulio Cimini (IMT Lucca)

Advanced Topics in Network Theory: Dynamical Processes of Networks

Mean field and master equations.
Percolation and epidemic models.
Contagion: the case of financial networks.
Applications of network theory.
Lecture 1: Master equations for network models
Lecture 2: Fitness and relevance models
Lecture 3: Epidemic processes in mean fiels
Lecture 4: Epidemics on networks
Lecture 5: Scaling and percolation on networks
Lecture 6: Contagion in financial network I
Lecture 7: Contagion in financial network II
Lecture 8: Game theory on networks
Lecture 9: Evolutionary network games

Networks

The course is structured into three modules: the first one will cover advanced topics in complex network theory, whereas, the second one will focus on economic and financial networks, dealing with both theory and applications.

Module 1: Advanced Theory of Complex Networks
Lecture 1 Models of Evolving Networks
Lecture 2 Fitness & Relevance models
Lecture 3 The Master Equations approach
Lecture 4 Percolation
Lecture 5 Epidemic Models on Networks
Lecture 6 Advanced Topological Properties
Lecture 7 Complex Networks Randomization

Advanced Topics in Network Theory: Dynamical Processes of Networks

Mean field and master equations.
Percolation and epidemic models.
Contagion: the case of financial networks.
Applications of network theory.

Lecture 1: Master equations for network models
Lecture 2: Fitness and relevance models
Lecture 3: Epidemic processes in mean fiels
Lecture 4: Epidemics on networks
Lecture 5: Scaling and percolation on networks
Lecture 6: Contagion in financial network I
Lecture 7: Contagion in financial network II
Lecture 8: Game theory on networks
Lecture 9: Evolutionary network games

Advanced Topics in Network Theory: Dynamical Processes of Networks

Mean field and master equations.
Percolation and epidemic models.
Contagion: the case of financial networks.
Applications of network theory

Lecture 1: Master equations for network models
Lecture 2: Fitness and Relevance models
Lecture 3: Epidemic processes in mean field
Lecture 4: Epidemics on networks
Lecture 5: Scaling and percolation on networks
Lecture 6: Contagion in financial networks I
Lecture 7: Contagion: financial networks II
Lecture 8: Game theory on networks
Lecture 9: Evolutionary network games