I work in probability problems arising in equilibrium and non-equilibrium statistical mechanics
Here are some subject of my recent research activity:
Hydrodynamic limits in hyperbolic scaling of interacting particles with boundary conditions. Fluctuations and large deviations in hyperbolic scaling.
Boundary conditions in entropic solutions of hyperbolic systems of conservation laws.
Hydrodynamic limits in quantum dynamics.
Kinetic and high frequency limits with thermal boundary conditions.
Hydrodynamic limits for energy super-diffusion, fractional heat equations with thermal boundaries.
Hydrodynamic limits for diffusive systems with more conserved quantities, with thermal and mechanical boundary forces.
Non-equilibrium stationary states. Phase transitions in non-equilibrium stationary states, fluctuations of interfaces between phases in non-equilibrium.
Quasi static hydrodynamic limits and their large deviations.