Dynamical mean-field theory (DMFT) offers a theoretical framework to study strongly interacting classical and quantum many-body systems.
In this talk I will show a general derivation of DMFT for classical systems, discuss its main physical ingredients and then highlight the most recent and successful applications in static physics and inter-disciplinary fields.
I will show that it can describe complex phenomena such as out of equilibrium relaxation, glassy and slow dynamics, and high-dimensional chaos.