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 |
Strong field double ionization : The phase space perspective
Physical Review Letters, 2009, 102, pp.173002. (10.1103/PhysRevLett.102.173002)
Out of Equilibrium Solutions in the $XY$-Hamiltonian Mean Field model
EPL - Europhysics Letters, 2009, 86 (2), pp.20002. (10.1209/0295-5075/86/20002)
Directed transport in a spatially periodic potential under periodic non-biased forcing
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2009, 79 (2), pp.026213. (10.1103/PhysRevE.79.026213)
Coupling between reconnection and Kelvin-Helmholtz instabilities in collisionless
Nonlinear Processes in Geophysics, 2009, 16 (2), pp.241-249. (10.5194/npg-16-241-2009)
Abundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems
Physical Review Letters, 2008, 101 (26), pp.260603. (10.1103/PhysRevLett.101.260603)
Chaos, Complexity and Transport: Theory and Application
Cristel Chandre, Xavier Leoncini et George Zaslavsky. World Scientific, pp.364, 2008
Ergodicité, collage et transport anomal
Comptes Rendus. Mécanique, 2008, 336, pp.530-535. (10.1016/j.CRME.2008.02.006)
Tailored mixing inside a translating droplet
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2008, 77, pp.036314. (10.1103/PhysRevE.77.036314)
Targeted mixing in an array of alternating vortices
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2007, 76, pp.046217. (10.1103/PhysRevE.76.046217)
Local control of area-preserving maps
Chaos, Complexity and Transport: Theory and Applications, Jun 2007, Marseille, France. pp.136
