Research group in classical and quantum dynamical systems

Academic staff
Elena Agliari, Giada Basile, Dario Benedetto, Lorenzo BertiniPaolo Butta', Emanuele Caglioti, Camillo Cammarota, Guido Cavallaro, Michele CoreggiCarlotta MaffeiGianluca PanatiAlessandro Teta

Post-docs and graduate students
Giulia Basti, Andrea Di Stefano, Emanuela Laura Giacomelli, Giovanna Marcelli, Massimo Moscolari, Marco Olivieri, Lorenzo Pinna, Clément Tauber


Research areas

  • Kinetic theory and fluid dynamics.
    Derivation of kinetic equations from microscopic dynamics, Lorentz gas, Boltzmann equation, Vlasov-Poisson equation, long time behavior of Vlasov type equations, vortex model, Landau damping, fluid/obstacle interaction for vanishing Reynolds number, Navier-Stokes equation.
    (Dario Benedetto, Giada Basile, Paolo Butta', Emanuele Caglioti, Guido Cavallaro, Carlotta Maffei,  Andrea Di Stefano)
  • Quantum mechanics.
    Spectral analysis, Schroedinger operators with zero-range interactions, nonlinear Schroedinger equation, semi-classical and adiabatic limit of quantum dynamics, decoherence, geometric and variational methods for periodic Schroedinger operators, historical aspects of Quantum Mechanics, nonlinear models for superfluidity and superconductivity, Bose-Einstein condensation, quantum Heisenberg model.
    (Gianluca Panati, Alessandro Teta, Michele Coreggi, Giulia Basti, Emanuela Laura Giacomelli, Giovanna Marcelli, Massimo Moscolari, Marco Olivieri, Lorenzo Pinna, Clément Tauber)
  • Non-equilibrium statistical mechanics. 
    Stochastic dynamical models, interface dynamics, microscopic models of heat conduction, diffusive limit of random walk in random enviroment, variational methods.
    (Giada Basile, Lorenzo Bertini,  Paolo Butta', Emanuele Caglioti, Camillo Cammarota, Guido Cavallaro, Carlotta Maffei)
  • Hamiltonian and dissipative dynamical systems.
    Infinite particle Hamiltonian dynamics, qualitative theories for smooth dynamical systems.
    (Paolo Butta', Guido Cavallaro, Carlotta Maffei)
  • Analysis of data sequences.
    Statistical and dynamical system methods in time series and data analysis with applications to biomedical systems, biochemistry, heart rate variability, authorship attribution, phylogeny.
    (Elena Agliari, Dario Benedetto, Emanuele Caglioti, Camillo Cammarota)
  • Neural networks.
    Hopfield model, Boltzmann machines, learning algorithms, spiking neuron models, disordered statistical mechanics, artificial intelligence.
    (Elena Agliari, Dario Benedetto, Emanuele Caglioti)