Probability and Statistical Mechanics. Part II: Some basic notion in statistical mechanics.

by Errico Presutti (GSSI)

Wednesday 1 Jan 2020, 09:00 → Friday 31 Jan 2020, 11:00 Europe/Rome

Lecturer
Errico Presutti (GSSI)
 

Course content

1. The Monge-Kantorovich-Vaserstein distance.
2. Applications to spin systems.
3. Markov chains.
4. Transfer matrix, the Perron-Frobenius theorem.
5. Gibbs measures and the Ising model.
6. The one dimensional Ising model.
7. Thermodynamic limit for the pressure.
8. The DLR property.
9. High temperatures: the Dobrushin theorem.
10. Phase transitions at low temperatures.
11. Cluster expansion at low temperatures.