Probability theory and statistical mechanics
Bet, Nardi
- Phase diagrams
- Phase transitions
- Cluster expansion and inequalities
Metastability
Nardi
- General approaches: pathwise (large deviations) and potential theoretic
- Spin models: Ising-like models and Blume-Capel with Glauber dynamics
Bet, Nardi
- Probabilistic Cellular Automata
- Lattice gas models: Lattice gas model with kawasaki dynamics isotropic and anisotropic
- Hard-core models with Metropolis dynamics
Perturbative study of random walks
Nardi
- Ideal gas approximation for a rarefied gas under Kawasaki dynamics
- Front propagation velocities inside moving populations
Cut-off phenomena and mixing times
Nardi
- Relation cut-off phenomena, exponential escape behaviour and metastability
- Approach to study cut-off behaviour
Random Graphs
Nardi
- First passage percolation
- Metastable behaviour on random graphs with Glauber dynamics
Bet
- Critical random graphs
Queueing Theory
Bet
- Scaling limits