Complex Networks, Chaos & Non-linearities

The theoretical physics team studies the structure and random walks on complex classical and quantum networks, classical, semi-classical and quantum dynamical systems, and develops mathematical and numerical tools for these studies (Google matrices, Floquet and Koopman operators, fractal geometry, big data methods, AI,...).

Our main study topics are:

• Analysis of complex networks resulting from big data (and applications in economic and social sciences, biology, ecology, etc.)
• Classical dynamical systems (modeling using simple maps), chaos and fractals
• Quantum systems driven by classical systems, spin networks & quantum chaos
• Non-linear molecular networks & quantum walks

See also Gravitational dynamical systems .

Staff: José Lages, Vincent Pouthier, Guillaume Rollin, David Viennot