Research
Research
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Our group works in Probability Theory, with a special focus on its applications in Statistical Mechanics and the Social Sciences.
Find below an overview of our research interests.
Probability theory and statistical mechanics
Probability theory and statistical mechanics
Phase transitions and disordered systems
Interacting particle systems
Fluctuations, scaling limits and large deviations
Phase transition in the Ising model
(credit: MARQOV Project)
(credit: MARQOV Project)
Random graphs and complex networks
Random graphs and complex networks
Critical random graphs
Dynamics of networks
Opinion and infection dynamics on networks
Spectra of random graphs and matrices
Non-homogeneous, directed and dynamic ensembles
Spanning trees, percolation and random forests
Communities, anomaly detection, centrality measures
A complex scale-free network
(credit: Wikipedia)
(credit: Wikipedia)
Random walks
Random walks
Random walks in random environments
Branching and self-avoiding random walks
Growth models
Hydrodynamic limits
Branching random walk
(credit: Matt Roberts)
(credit: Matt Roberts)
Markov processes
Markov processes
Cut-off phenomena and mixing times
Relaxation to equilibrium
Metastability
Duality
Card shuffling
(credit: phys.org)
(credit: phys.org)
Integrable probability
Integrable probability
Interacting particle systems
Random matrix ensembles
Determinantal point processes
Stochastic growth models
Combinatorial and algebraic structures
Oriented swap process
(credit: Angel, Holroyd, Romik)
(credit: Angel, Holroyd, Romik)
Queueing Theory
Queueing Theory
Stochastic-process limits
Non-Markovian systems
Queue of people
(credit: analyticsweek.com)
(credit: analyticsweek.com)
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