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 |
Slowing down of so-called chaotic states: ``Freezing'' the initial state
Discontinuity, Nonlinearity, and Complexity, 2016, 5 (4), pp.447-455. (10.5890/DNC.2016.12.009)
Lifting of the Vlasov–Maxwell bracket by Lie-transform method
Journal of Plasma Physics, 2016, 82 (6), pp.905820608. (10.1017/S0022377816001161)
A Unifying Approach for Disturbance Cancellation and Target Detection in Passive Radar Using OFDM
IEEE Transactions on Signal Processing, 2016, 64 (22), pp.5959 - 5971. (10.1109/TSP.2016.2600511)
Kinematics of fluid particles on the sea surface. Hamiltonian theory
Journal of Fluid Mechanics, 2016, 801, pp.260. (10.1017/jfm.2016.453)
Escape Rates and Singular Limiting Distributions for Intermittent Maps with Holes
Transactions of the American Mathematical Society, 2016, 368 (7), pp.4907-4932. (10.1090/tran/6481)
Riemannian-geometric entropy for measuring network complexity
Physical Review E , 2016, 93 (6), pp.062317. (10.1103/PhysRevE.93.062317)
Hamiltonian fluid reductions of drift-kinetic equations and the link with water-bags
Journal of Physics A: Mathematical and Theoretical, 2016, 49 (30), pp.305501
Conservative dissipation: How important is the Jacobi identity in the dynamics?
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016, 26 (5), pp.053101. (10.1063/1.4948411)
Random walk of passive tracers among randomly moving obstacles
Theoretical Biology and Medical Modelling, 2016, 13, pp.13. (10.1186/s12976-016-0038-1)
Hamiltonian reductions of the one-dimensional Vlasov equation using phase-space moments
Journal of Mathematical Physics, 2016, 57 (3), pp.032902. (10.1063/1.4944720)
