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 emeritus | +33.4.91.26.95.49 | Contact |
| ROUVET | Simon | Ph.D. | Contact | |
| VAIENTI | Sandro | Research teacher emeritus | +33.4.91.26.95.44 | Contact |
| VITTOT | Michel | Researcher | +33.4.91.26.95.24 | Contact |
Non–equilibrium collective oscillations in biomolecules: towards Bose-Einstein condensation in organic matter?
21st International Conference on Electron Dynamics in Semiconductors, Optoelectronics and Nanostructures, 2019, Nara, Japan
Collective behavior of oscillating electric dipoles
Scientific Reports, 2018, 8 (1), pp.15748. (10.1038/s41598-018-33990-y)
A reduced Landau-gyrofluid model for magnetic reconnection driven by electron inertia
Journal of Plasma Physics, 2018, 84 (4), pp.725840401. (10.1017/S002237781800051X)
Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales
Physics of Plasmas, 2018, 25 (7), pp.072303. (10.1063/1.5023089)
Extreme value theory for synchronization of coupled map lattices
Nonlinearity, 2018, 31 (7), pp.3326-3358. (10.1088/1361-6544/aabc8e)
Central limit theorems for sequential and random intermittent dynamical systems
Ergodic Theory and Dynamical Systems, 2018, 38 (3), pp.1127-1153. (10.1017/etds.2016.69)
Gyrofluid modeling and phenomenology of low- β e Alfvén wave turbulence
Physics of Plasmas, 2018, 25 (4), pp.042107. (10.1063/1.5022528)
Resonance controlled transport in phase space
Physica D: Nonlinear Phenomena, 2018, 364, pp.22-26. (10.1016/j.physd.2017.09.010)
Topological origin of phase transitions in the absence of critical points of the energy landscape
Journal of Statistical Mechanics: Theory and Experiment, 2018, 2018, pp.093204. (10.1088/1742-5468/aad6b6)
A spectral approach for quenched limit theorems for random expanding dynamical systems
Communications in Mathematical Physics, 2018, 360 (3), pp.1121-1187. (10.1007/s00220-017-3083-7)
