Statistical and Mathematical Physics

In the last twenty-thirty years, physicists realized that the mathematical and physical tools they were developing could be applied to a variety of multidisciplinary problems, from computer science to biology and economics. Complexity science was born. Members of our Department have always been at the forefront in this field, putting forward theories and concepts that are now at the basis of the research in this field.

  • Mathematical Physics

Nonlinear evolution equations; theory of rogue waves; spectral theory of multidimensional wave breaking; integrable many-body problems and functional equations; methastable states and Riemann surfaces; multiscale expansions; probabilistic methods in classical and quantum systems; relaxation phenomena and spectral gaps; quantum computing and quantum phase transitions.
Members:  Aglietti, Bruschi, Cesi, Presilla, Santini

  • Statistical Mechanics and Complexity

Research in Statistical Mechanics and Complex Systems spans a broad range of topics, from fundamental issues in condensed matter to interdisciplinary applications: dynamical systems, non-equilibrium fluctuation-response relations, phase transitions and dynamical behaviour in spin glasses and disordered systems, optimization problems, machine learning, statistical inference, collective behaviour in biological systems and active living matter, language and social dynamics, emerging phenomena in economics.
Members:  Crisanti, Giardina, Loreto, Maiorano, Marinari, G. Parisi, Pietronero, Ricci-Tersenghi, Tria, Vulpiani