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 |
On the minimum dilatation of braids on punctured discs
Geometriae Dedicata, 2011, 152 (01), pp.165-182. (10.1007/s10711-010-9551-2)
From Rates of mixing to recurrence times via large deviations
Advances in Mathematics, 2011, 228 (2), pp.1203-1230. (10.1016/j.aim.2011.06.014)
Hamiltonian Perturbation Methods for Magnetically Confined Fusion Plasmas
Plasma Physics [physics.plasm-ph]. Aix Marseille Université, 2010. English. (NNT : )
Nonlinear gyrofluid simulations of collisionless reconnection
Physics of Plasmas, 2010, 17 (8), pp.082312. (10.1063/1.3475440)
Recollisions and correlated double ionization with circularly polarized light
Physical Review Letters, 2010, 105 (8), pp.083002. (10.1103/PhysRevLett.105.083002)
TYPICAL RECURRENCE FOR THE EHRENFEST WIND-TREE MODEL
Journal of Statistical Physics, 2010, pp.60-67. (10.1007/s10955-010-0026-5)
TCR beta allelic exclusion in dynamical models of V(D)J recombination based on allele independence.
Journal of Immunology, 2010, 185 (3), pp.1622-32. (10.4049/jimmunol.0904182)
Using Resonances to Control Chaotic Mixing within a Translating and Rotating Droplet
Communications in Nonlinear Science and Numerical Simulation, 2010, 15 (8), pp.2124. (10.1016/j.cnsns.2009.08.007)
Dynamics of recollisions for the double ionization of atoms in intense laser fields
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2010, 81 (6), pp.063425. (10.1103/PhysRevA.81.063425)
Derivation of reduced two-dimensional fluid models via Dirac's theory of constrained Hamiltonian systems
Physics of Plasmas, 2010, 17 (4), pp.042307. (10.1063/1.3356103)
