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 |
Full particle orbit effects in regular and stochastic magnetic fields
Physics of Plasmas, 2016, 23 (7), pp.072506. (10.1063/1.4958653)
Hidden dimensions in an Hamiltonian system on networks
Afraimovich, Valentin; Machado, José António Tenreiro; Zhang, Jiazhong. Complex Motions and Chaos in Nonlinear Systems, 15, Springer, 2016, Nonlinear Systems and Complexity, 978-3-319-28762-1. (10.1007/978-3-319-28764-5)
Landau damping in the Kuramoto model
Annales Henri Poincaré, 2015, 17 (7), pp.1793-1823. (10.1007/s00023-015-0450-9)
A study of full particle orbit effects in stochastic magnetic fields
57th Annual Meeting of the APS Division of Plasma Physics, Nov 2015, Savannah, United States
Incomplete Dirac reduction of constrained Hamiltonian systems
Annals of Physics, 2015, 361, pp.1
Hamiltonian fluid closures of the Vlasov-Ampère equations: from water-bags to N moment models
Physics of Plasmas, 2015, 22, pp.092309
Persistence of Coulomb focusing during ionization in the strong-field regime
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2015, 92, pp.023422
Hamiltonian closures for fluid models with four moments by dimensional analysis
Journal of Physics A: Mathematical and Theoretical, 2015, 48 (27), pp.275501
Investigation of Brownian Diffusion and Long-Distance Electrodynamic Interactions of Biomolecules
International Conference on Noise and Fluctuations, Jun 2015, Xi’an, China. (10.1109/ICNF.2015.7288566)
An Optimal Family of Detectors for Passive Radar Systems Using Digital Communication Signals
Conference on Chaos, Complexity and Transport 2015, Jun 2015, Marseilles, France. (10.1142/9789813202740_0015)
