Mathematical Physics of Complex Systems

The Mathematical Physics of Complex Systems group develops theories, models, and applications across various fields within the broader context of complex systems. Our methodologies range from advanced mathematical theorems—utilizing dynamical, probabilistic, spectral, and entropic tools—to exact results derived via approximation schemes, numerical simulations (including HPC), and data analysis.

Key areas of interest include:

• Equilibrium and non-equilibrium statistical physics, with a focus on applications to transport and mobility models.
• Rigorous theory of dynamical systems, specifically ergodic theory and stochastic properties.
• Stochastic processes and their applications in both physical and non-physical models.
• Information theory and entropic methods, applied to automated data analysis and classification.