Professor Gérard Ben Arous, da Courant Institute of Mathematical Sciences, no âmbito da Escola de Altos Estudos da Capes.

Programa:
Part I. Equilibrium Results
1. The basic setting of Statistical Mechanics.
2. A review of non-disordered models.
3. The Spin-Glass models.
4. Analysis of the simplest model the Random Energy Model (REM).
5. REM - Universality.
6. The Ghirlanda - Guerra formula.
7. The Guerra - Toninelli Interpolation.
8. The Parisi formula.
9. Recent progress on ultrametricity and and the structure of Gibbs measures at low temperature.
10. Complexity of spherical spin-glass.

Part II. Dynamics of Spin - Glass
1. Glauber dynamics for spin - glass.
2. Dynamics of the REM: trapping and aging.
3. Dynamics of p-spin models: trapping, aging and REM - universality.
4. Super - aging for dynamics in shorter time scale.

Part III. Trapping for dynamics of other disordered models
1. Biased random walks on random trees.
2. Biased random walks on supercritical percolation clusters.

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