Guido Caldarelli (IMT Lucca)

Advanced Topics in Network Theory: Algorithms and Applications

Centrality metrics and spectral properties of graphs.
Community detection.
Bipartite and multilayer networks.
Applications: World Trade Web

Lecture 1: Centrality metrics
Lecture 2: Spectral properties
Lecture 3: Ranklings and reputation on graphs
Lecture 4: Community detection in networks I
Lecture 5: Community detection in networks II
Lecture 6: Bipartite networks
Lecture 7: Multilayer networks
Lecture 8: World Trade Web
Lecture 9: Infrastructural network I
Lecture 10: Infrastructural network II

Introduction to Complex Systems and Networks

Complexity, self-similarity, scaling, self-organised criticality.
Definition of graphs, real networks and their properties.
Models of static networks, models of network growth.

Lecture 01 Graph Theory Introduction
Lecture 02 Properties of Complex Networks
Lecture 03 Communities
Lecture 04 Different Kind of Graphs
Lecture 05 Ranking
Lecture 06 Static Models of Graphs
Lecture 07 Dynamical Models of Graphs 
Lecture 08 Fitness Models
Lecture 09 World Trade Web
Lecture 10 Financial Networks

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: Algorithms and Applications

Centrality metrics and spectral properties of graphs.
Community detection.
Bipartite and multilayer networks.
Applications: Worls Trade Web
Lecture 1: Centrality metrics
Lecture 2: Spectral properties
Lecture 3: Ranklings and reputation on graphs
Lecture 4: Community detection in networks I
Lecture 5: Community detection in networks II
Lecture 6: Bipartite networks
Lecture 7: Multilayer networks
Lecture 8: World Trade Web
Lecture 9: Infrastructural network I
Lecture 10: Infrastructural network II 

Introduction to Complex Systems and Networks

Complexity, self-similarity, scaling, self-organised criticality.
Definition of graphs, real networks and their properties.
Models of static networks, models of network growth.

Lecture 1 Graph Theory Introduction
Lecture 2 Properties of Complex Networks
Lecture 3 Communities
Lecture 4 Different Kind of Graphs
Lecture 5 Ranking
Lecture 6 Static Models of Graphs
Lecture 7 Dynamical Models of Graphs
Lecture 8 Fitness Models
Lecture 9 World Trade Web
Lecture 10 Financial Networks 

Advanced Topics in Network Theory: Statistical Mechanics of Networks

Information theory, Exponential Random Graphs.
Hypothesis testing on networks
Reconstruction of networks.

Lecture 1: Basics of Information Theory
Lecture 2: Complex Networks Randomization
Lecture 3: Exponential Random Graphs
Lecture 4: maximum Likelihood Estimation
Lecture 5: Hypothesis testing on networks
Lecture 6: Early warnings in economic and financial networks
Lecture 7: Gravity Models of Trade
Lecture 8: Reconstruction algorithms I
Lecture 9: Reconstruction algorithms II
Lecture 10: Reconstruction of interbank networks