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,...).
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
Staff: José Lages, Vincent Pouthier, Guillaume Rollin, David Viennot
Recent publications:
Opinion Formation in the World Trade Network
Entropy, 26(2), 141, 2024
Site de l'éditeur HAL
Continuous-Time Quantum Walk in Glued Trees: Localized State-Mediated Almost Perfect Quantum-State Transfer
Entropy, 26(6), 490, 2024
Site de l'éditeur HAL
Identifying important species in meta‐communities
Methods Ecol Evol, 15(9), 1691-1703, 2024
Site de l'éditeur HAL