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 |
Homotopical rigidity of polygonal billiards
Topology and its Applications, 2014, 173, pp.308-324. (10.1016/j.topol.2014.06.003)
Hamiltonian structure of a drift-kinetic model and Hamiltonian closures for its two-moment fluid reductions
The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2014, 68, pp.196
Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian
Plasma Physics and Controlled Fusion, 2014, 56, pp.095008
Chaotic motion of charged particles in toroidal magnetic configurations
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2014, 24 (3), pp.033101. (10.1063/1.4885103)
Erratum: Enhanced thermopower under a time-dependent gate voltage
Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2014, 89, pp.239907. (10.1103/PhysRevB.89.239907)
Hamiltonian closures for two-moment fluid models derived from drift-kinetic equations
Journal of Physics A: Mathematical and Theoretical, 2014, 47, pp.195501
Linear stability analysis of collisionless reconnection in the presence of an equilibrium flow aligned with the guide field
The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2014, 68, pp.88
A Hamiltonian fluid-kinetic model for a two-species non-neutral plasma
Physics of Plasmas, 2014, 21, pp.044504
Hamiltonian formulation of the modified Hasegawa Mima equation
Physics Letters A, 2014, 378, pp.956. (10.1016/j.physleta.2014.01.048)
Quantum-classical correspondence in circularly polarized high harmonic generation
Journal of Physics B: Atomic, Molecular and Optical Physics, 2014, 47, pp.041001. (10.1088/0953-4075/47/4/041001)
