Sì qualche storta sillaba e secca come un ramo

(E. Montale)

I am interested in the first place in the equilibrium statistical mechanics
of models with quenched randomness, in relaxation to equilibrium of Monte Carlo Markov Chains
and in stochastic evolution of discrete interfaces.
I am also interested in dimer models/random tilings of the plane

More specifically, themes on which I am presently working/have worked in the past are:

More specifically, themes on which I am presently working/have worked in the past are:

Localization-delocalization phenomena for directed polymers in disordered media

- pinning of directed polymers on a defect line

- An only apparently unrelated question: exponential convergence rates for renewal sequences

Stochastic dynamics and relaxation to equilibrium

- Stochastic dynamics of discrete interfaces/of random tilings/of dimer coverings. Emergence of mean curvature evolution from microscopic models..

- Glauber dynamics of directed polymers and of (1+1)-dimensional and higher dimensional interfaces

Spin glasses (mostly mean field)

- mean field models with finite connectivity, both on Poissonian (e.g., Viana-Bray model) and on non-Poissonian random graphs

- mean field spin glasses with additional short-range interactions ("Ising+Sherrington-Kirkpatrick" model)

- finite-dimensional spin glasses with long but finite interaction range