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Probabilità e Statistica Matematica

Research topics

 

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

 

Faculty staff

 

 

Postdocs

  • Maxence Phalempin
  • Troiani Alessio

 

PhD students

 

 

Other frequent collaborators

 

  • Baroni Enrico
  • Picco Pierre
  • Scoppola Benedetto

 

Visitors

 

 

Grants and projects

 

 

Seminars 

 

 

PhD Courses

Ultimo aggiornamento

07.09.2022

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