Research group in classical and quantum dynamical systems

Academic staff
Giada Basile, Dario Benedetto, Lorenzo Bertini, Carlo Boldrighini, Paolo Butta', Emanuele Caglioti, Camillo Cammarota, Guido Cavallaro, Carlotta Maffei, Carlo Marchioro, Piero Negrini Gianluca Panati, Mario Pulvirenti, Alessandro Teta

Post-docs and graduate students
Giulia Basti, Nicolò Catapano, Andrea Di Stefano, Emanuela Laura Giacomelli, Giovanna Marcelli, Umberto Montemagno, 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, Carlo Boldrighini, Paolo Butta', Emanuele Caglioti, Guido Cavallaro, Carlotta Maffei, Carlo Marchioro, Piero Negrini, Mario Pulvirenti, Andrea Di Stefano. Umberto Montemagno)
  • 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.
    (Gianluca Panati, Alessandro Teta, Giulia Basti, Emanuela Laura Giacomelli, Giovanna Marcelli, 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, Carlo Boldrighini, Paolo Butta', Emanuele Caglioti, Camillo Cammarota, Guido Cavallaro, Carlotta Maffei, Carlo Marchioro, Mario Pulvirenti)
  • Hamiltonian and dissipative dynamical systems.
    Infinite particle Hamiltonian dynamics, qualitative theories for smooth dynamical systems.
    (Paolo Butta', Guido Cavallaro, Carlotta Maffei, Carlo Marchioro, Piero Negrini)
  • Analysis of data sequences.
    Statistical and dynamical system methods in time series and data analysis with applications to biomedical systems, heart rate variability, authorship attribution, phylogeny.
    (Dario Benedetto, Emanuele Caglioti, Camillo Cammarota)