## Research

Statistical Mechanics, Probability Theory, Mathematical Physics and their Applications.

The main subjects are:

- Non-equilibrium Statistical Mechanics and Interacting
Particle Systems

(e.g. duality, inclusion process, Fourier's law).

- Disordered Systems, namely systems on random spatial
structures with random interactions

(e.g. spin models on random graphs, spin glasses).

- Large Deviations and Rare Events

(e.g. importance sampling with cloning).

- Models for evolution, economicy and social sciences

(mathematical population genetics, portfolio optimization,*stochastic processes on random graphs*).