Research interests

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

• Communities, anomaly detection, centrality measures

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