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 |
How Key Periodic Orbits Drive Recollisions in a Circularly Polarized Laser Field
Physical Review Letters, 2013, 110, pp.253002. (10.1103/PhysRevLett.110.253002)
Epigenetic aspects of lymphocyte antigen receptor gene rearrangement or 'when stochasticity completes randomness
Immunology, 2013, 139 (2), pp.141-150. (10.1111/imm.12057)
Ergodicity of certain cocycles over certain interval exchanges
Discrete and Continuous Dynamical Systems - Series A, 2013, 33 (6), pp.2523-2529. (10.3934/dcds.2013.33.2523)
From the microscopic to the van Hove regime in the XY chain out of equilibrium
Reviews in Mathematical Physics, 2013, 25 (5), pp.1330008. (10.1142/S0129055X13300082)
Stability of compressible reduced magnetohydrodynamic equilibria - Analogy with magnetorotational instability
Physics of Plasmas, 2013, pp.042109
Dynamics of vortices and drift waves: a point vortex model
The European Physical Journal B: Condensed Matter and Complex Systems, 2013, 86, pp.95. (10.1140/epjb/e2013-30800-6)
On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets
Journal of Physics A: Mathematical and Theoretical, 2013, 46 (12), pp.125203. (10.1088/1751-8113/46/12/125203)
Lifting particle coordinate changes of magnetic moment type to Vlasov-Maxwell Hamiltonian dynamics
Physics of Plasmas, 2013, 20 (3), pp.032109. (10.1063/1.4794828)
A stochastic approach to the solution of magnetohydrodynamic equations
Journal of Computational Physics, 2013, 242, pp.777-789. (10.1016/j.jcp.2013.02.039)
The Hamiltonian structure and Euler-Poincaré formulation of the Vlasov-Maxwell and gyrokinetic systems
Physics of Plasmas, 2013, 20, pp.022501. (10.1063/1.4791664)
