Marco Lenci

Full Professor

Department of Physics and Astronomy "Augusto Righi"

Academic discipline: MATH-04/A Mathematical Physics

Research

Keywords: dynamical systems ergodic theory infinite-measure dynamics billiards stochastic processes random walks anomalous diffusion transport in physical systems large deviations

Dynamical systems. Ergodic theory and stochastic properties dynamical systems. Infinite ergodic theory. Hyperbolic/expanding dynamics. Hyperbolic billiards, Lorentz gases and similar systems. Quenched random dynamical systems. Maps with indifferent fixed points.
Stochastic processes. Random walks in random and inhomogeneous environments: recurrence vs transience, limit theorems. Diffusive and superdiffusive properties.
Applications of dynamics to problems in physics. Anomalous diffusion, transport. Lévy random walks. Intermittent dynamics. Applications to biological systems. Dynamics of internal waves. Mathematical methods for applications to climate sciences.
Quantum large deviations. For lattice spin systems (quantum spins, discrete gases, fermionic systems on the lattice, etc.).

Marco Lenci

Research

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