Group “Classical and Quantum Dynamical Systems”
Statistical properties of dynamical systems: Probabilistic methods are used to study limit theorems in the case of deterministic and random dynamical systems, in particular the Central Limit Theorem (CLT), the Almost Sure Invariance Principle, large deviations, and the distribution of rare events. The rate of decay of correlations for non-uniformly hyperbolic systems is estimated using new techniques (coupling, renewal). Random systems (by random composition of mappings acting on the same space) and sequential dynamical systems (non-stationary or non-autonomous, where a concatenation of mappings acts on a space) are also studied. We have formulated and developed the theory of extreme values for random and non-autonomous systems, with extensions to networks of coupled mappings.
Fusion plasma physics: We develop reduced fluid and kinetic Hamiltonian models derived from Dirac’s constraint theory to study the fundamental mechanisms of turbulent magnetized plasmas that degrade confinement in tokamak devices. Parasitic instabilities in a hybrid non-Hamiltonian model for the interaction of energetic particles with a thermal plasma are also studied, as well as secondary instabilities following magnetic reconnection. Another part of the research activity concerns the application of stochastic process theory to study the formation of transport barriers in tokamaks.
Biophysics: We focus on fundamental physical processes, in particular resonant electrodynamic forces acting over long distances, which are thought to be responsible for the high efficiency of molecular machinery within living cells and for long-range coherence in biological systems. This activity is pursued both theoretically and experimentally in collaboration with molecular biologists.
Complexity: New methods for measuring the complexity of networks are developed within the framework of Riemannian Information Geometry. Applications to networks of proteomic interactions in cancer cells are currently being developed.
| ASCH | Joachim | Research teacher | +33.4.91.26.95.20 | Contact |
| ASCHBACHER | Walter | Research teacher | +33.4.91.26.95.16 | Contact |
| DAQUIN | Jerome | Research teacher | Contact | |
| EL KETTANI | Perla | Research teacher Unit leader « Systèmes dynamiques classiques et quantiques » | +33.4.91.26.97.93 | Contact |
| FLORIANI | Elena | Research teacher | +33.4.91.26.95.22 | Contact |
| LEBOUAZDA | Yohann | Ph.D. | Contact | |
| LEONCINI | Xavier | Research teacher Team leader « Dynamical Systems: Theory and Applications » | +33.4.91.26.95.38 | Contact |
| PETTINI | Marco | Research teacher | +33.4.91.26.95.49 | Contact |
| ROUVET | Simon | Ph.D. | Contact | |
| VAIENTI | Sandro | Research teacher | +33.4.91.26.95.44 | Contact |
| VITTOT | Michel | Researcher | +33.4.91.26.95.24 | Contact |
LETTER TO THE EDITORS: SOLVING VINCENT CARRET’S PUZZLE: A REBUTTAL OF CARRET’S FALLACIES AND ERRORS
Journal of the History of Economic Thought, 2023, 45 (3), pp.503-510. (10.1017/S1053837223000068)
Paths towards synchronization: analytical treatment of completely connected networks
Journal of Physics A: Mathematical and Theoretical, 2023, 56, pp.225202. (10.1088/1751-8121/acd03a)
TOPOLOGICAL SYNCHRONISATION OR A SIMPLE ATTRACTOR?
Nonlinearity, In press, 36, pp.3603. (10.1088/1361-6544/acd42f)
Thermodynamic Formalism and Perturbation Formulae for Quenched Random Open Dynamical Systems
Dissertationes Mathematicae, In press, (10.48550/arXiv.2307.00774)
Ecological succession of pico- and nanophytoplankton in a coastal bay of NW Mediterranean sea
Continental Shelf Research, In press, pp.104948. (10.1016/j.csr.2023.104948)
Equilibrium states for non-transitive random open and closed dynamical systems
Ergodic Theory and Dynamical Systems, In press, 43 (10), pp.3193-3215. (10.1017/etds.2022.68)
Number of visits in arbitrary sets for $\phi$-mixing dynamics
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, In press, 60 (2), (10.1214/22-AIHP1350)
Routing a quantum state in a bio-inspired network
Quantum Information Processing, 2023, 22 (7), pp.266. (10.1007/s11128-023-03942-1)
Jerk Dynamics in the Minimal Universal Model of Laser
International journal of bifurcation and chaos in applied sciences and engineering , 2022, 32 (16), pp.2250249. (10.1142/S0218127422502492)
Full Self-Consistent Vlasov-Maxwell Solution
Physical Review E , 2022
