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 |
Hamiltonian structure of reduced fluid models for plasmas obtained from a kinetic description
Physics Letters A, 2012, 376 (45), pp.3172. (10.1016/j.physleta.2012.07.031)
Ergodic infinite group extensions of geodesic flows on translation surfaces
Journal of modern dynamics, 2012, pp.477-497. (10.3934/jmd.2012.6.477)
Comment on "Geometric phase of the gyromotion for charged particles in a time-dependent magnetic field" [Phys. Plasmas 18, 072505 (2011)]
Physics of Plasmas, 2012, 19, pp.094701
Comment on "Classical Simulations Including Electron Correlations for Sequential Double Ionization
2012
A signal processing method: Detection of Lévy flights in chaotic trajectories
Nonlinear Science and Complexity (NSC), 2012 IEEE 4th International Conference, Aug 2012, Budapest, Hungary. pp.19-24, (10.1109/NSC.2012.6304726)
Delayed double ionization as a signature of Hamiltonian chaos
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2012, 85 (6), pp.066205. (10.1103/PhysRevE.85.066205)
Microcanonical initial distribution strategy for classical simulations in strong field physics
UVX 2012 - 11e Colloque sur les Sources Cohérentes et Incohérentes UV, VUV et X ; Applications et Développements Récents, Jun 2012, Biarritz, France. pp.01017, (10.1051/uvx/201301017)
Completely periodic directions and orbit closures of many pseudo-Anosov Teichmueller discs in Q(1,1,1,1)
Mathematische Annalen, 2012, 353 (1), pp.1-35. (10.1007/s00208-011-0670-3)
Numerical investigation of a compressible gyrofluid model for collisionless magnetic reconnection
Physics of Plasmas, 2012, 19, pp.042103. (10.1063/1.3697860)
Hamiltonian control used to improve the beam stability in particle accelerator models
Communications in Nonlinear Science and Numerical Simulation, 2012, (10.1016/j.cnsns.2011.09.037)
