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 |
Extreme Value Laws For Non Stationary Processes Generated By Sequential And Random Dynamical Systems
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2017, 53 (3), pp. 1341-1370 (10.1214/16-AIHP757)
Electron-scale reduced fluid models with gyroviscous effects
Journal of Plasma Physics, 2017, 83 (4), pp.715830402. (10.1017/S0022377817000514)
Almost sure invariance principle for sequential and non-stationary dynamical systems
Transactions of the American Mathematical Society, 2017, 369 (8), pp. 5293-5316 (10.1090/tran/6812)
Linear and nonlinear response of the Vlasov system with nonintegrable Hamiltonian
Physical Review E , 2017, 96 (1), pp.012112 (10.1103/PhysRevE.96.012112)
Population Dynamics of Globally Coupled Degrade-and-Fire Oscillators
Journal of Dynamics and Differential Equations, 2017, 29 (2), pp.523-547. (10.1007/s10884-015-9449-7)
Mathematics for the fluid earth PREFACE
Journal of Physics A: Mathematical and Theoretical, 2017, 50 (17), pp.170301. (10.1088/1751-8121/aa639b)
Structure and computation of two-dimensional incompressible extended MHD
Physics of Plasmas, 2017, 24 (1), pp.012110 (10.1063/1.4974039)
Errors, Correlations and Fidelity for noisy Hamilton flows. Theory and numerical examples
Journal of Physics A: Mathematical and Theoretical, 2017, 50 (6), pp.064001. (10.1088/1751-8121/aa5192)
Out-of-equilibrium proteins dynamic probed by THz spectroscopy: towards Frohlich’s condensation
The 20th International Conference on Electron Dynamics in Semiconductors, Optoelectronics and Nanostructures, J. Bird, 2017, Buffalo, United States
Phase Transitions Theory and applications to Biophysics
Physics [physics]. Aix-Marseille Université (AMU); Centre de Physique Théorique - UMR 7332, 2016. English. (NNT : )
