Research group in classical and quantum dynamical systems
Academic staff
Elena Agliari, Giada Basile, Dario Benedetto, Lorenzo Bertini, Paolo Buttà, Emanuele Caglioti, Camillo Cammarota, Guido Cavallaro, Alberto Fachechi, Stefano Marchesani, Domenico Monaco, Gianluca Panati, Carlo Presilla, Mario Pulvirenti (Emeritus), Sergio Simonella, Alessandro Teta
Post-docs and graduate students
Gabriele Peluso, Francesca Pieroni, Kasper Soerensen
(Recent) former members
Miriam Aquaro, Giulia Basti, Michele Correggi, Andrea Di Stefano, Daniele Ferretti, Emanuela Laura Giacomelli, Carlotta Maffei, 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 Buttà, Emanuele Caglioti, Guido Cavallaro, Sergio Simonella) - 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, quantum phase transitions, open quantum systems.
(Domenico Monaco, Gianluca Panati, Gabriele Peluso, Carlo Presilla, Alessandro Teta) - 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 Buttà, Emanuele Caglioti, Camillo Cammarota, Guido Cavallaro, Carlo Presilla) - Hamiltonian and dissipative dynamical systems.
Infinite particle Hamiltonian dynamics, qualitative theories for smooth dynamical systems.
(Paolo Buttà, Guido Cavallaro) - 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, Alberto Fachechi)