Ricerca Settori DisciplinariProbabilità e Statistica Matematica
Probabilità e Statistica Matematica
Research topics
Probability theory and statistical mechanics
• Phase transitions and disordered systems
• Interacting Particle Systems
• Fluctuations, scaling limits and large deviations
Random Graphs and Complex Networks
• Critical random graphs
• Dynamics on and of networks
• Spectra of random graphs and matrices
• Non-homogeneous, directed and dynamic ensembles
• Spanning trees, percolation and random forests
• Community, anomaly detection, centrality measures and graph signal processing
Random walks
• Random walks in random environments
• Branching, self-avoiding and growth models
• Hydrodynamic limits
Markov processes
• Cut-off phenomena and mixing times
• Relaxation to equilibrium
• Metastability
• Duality
Queueing Theory
• Stochastic-process limits and non-Markovian systems