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DIMAI Dipartimento di Matematica e Informatica 'Ulisse Dini'

Probabilità e Statistica Matematica

Francesca Romana Nardi

Research topics

 

Probability theory and statistical mechanics

Gandolfi, Nardi

 

  • Phase diagrams
  • Phase transitions
  • Equilibrium properties Spin glasses
  • 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
  • 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

Gandolfi, Nardi

 

  • Ideal gas approximation for a rarefied gas under Kawasaki dynamics
  • Front propagation velocities inside moving populations
  • Random Walks in Random Environment

 

Cut-off phenomena and mixing times

Gandolfi, Nardi

 

  • Relation cut-off phenomena, exponential escape behaviour and metastability
  • Approach to study cut-off behaviour

 

Random Graphs

  • Percolation

    Gandolfi

  • First passage percolation

    Nardi

  • Metastable behaviour on random graphs with Glauber dynamics

    Nardi

 

Foundation of probability and statistics

  • Foundational aspects of probability

    Gandolfi, Nardi

  • Statistics of unobserved species

    Gandolfi

  • Applications of Statistics in Biosciences

    Gandolfi

 

Faculty staff

 

 

Postdocs

 

  • Troiani Alessio

 

PhD students

 

 

Other frequent collaborators

 

  • Scoppola Benedetto
  • Baroni Enrico

 

Visitors

 

 

Grants and projects

 

 

Seminars

 

 

PhD Courses

 
ultimo aggiornamento: 26-Lug-2017
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