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 & quantum chaos
• Spin networks, non-linear molecular networks & quantum walks

See also Gravitational dynamical systems .

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

Recent publications:

• Célestin Coquidé, José Lages et Dima Shepelyansky
  Opinion Formation in the World Trade Network
  Entropy, 26(2), 141, 2024
  Site de l'éditeur HAL
  
• Vincent Pouthier, Lucie Pepe et Saad Yalouz
  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
  
• Guillaume Rollin, Susanne Kortsch, José Lages et Benoit Gauzens
  Identifying important species in meta‐communities
  Methods Ecol Evol, 15(9), 1691-1703, 2024
  Site de l'éditeur HAL
  
• Nabile Boussaïd , Jack Borthwick
  Existence of stationary solutions of supercritical nonlinear Schrödinger equations on some metric graphs
  arXiv
• Vincent Pouthier , Saad Yalouz
  Defect-Mediated Pairing and Dissociation of Strongly Correlated Electrons in Low Dimensional Lattices: The Quantum Taxi Effect
  arXiv
• Guillaume Rollin , José Lages
  The most influential philosophers in Wikipedia: a multicultural analysis
  arXiv
• David Viennot
  Koopman analysis of CAT maps onto classical and quantum 2-tori
  arXiv