Statistical models on graphs and random networks
3 CFU – Raffaella Burioni
- Graphs and networks, definitions and basic maths;
- Topological and metrical dimensions of graphs, spectral properties of graphs;
- Random Networks Models
- Random walks and the Gaussian model on graphs
- The spherical model on graphs
- Classical Spin models on graphs: Ising model and the O(N) model
- Quantum models: tight binding models, Bose-Einstein condensation and Bose-Hubbard model on graphs
