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 |
Breaking of Ergodicity in Expanding Systems of Globally Coupled Piecewise Affine Circle Maps
Journal of Statistical Physics, 2014, 154 (4), pp.999-1029. (10.1007/s10955-013-0903-9)
Hamiltonian derivation of a gyrofluid model for collisionless magnetic reconnection
Journal of Physics: Conference Series, 2014, 561, pp.12018. (10.1088/1742-6596/561/1/012018)
Radiation condition at infinity for the high-frequency Helmholtz equation: optimality of a non-refocusing criterion
Hokkaido Mathematical Journal, 2014, 43 (3), pp.275-325
From Long-Range Order to Complex Networks, an Hamiltonian Dynamics Perspective
Valentin Afraimovich; Albert C. J. Luo; Xilin Fu. Nonlinear Dynamics and Complexity, 8, Springer, pp.1-39, 2014, Nonlinear Systems and Complexity, 978-3-319-02352-6. (10.1007/978-3-319-02353-3_1)
Extreme value laws for dynamical systems under observational noise
Physica D: Nonlinear Phenomena, 2014, 280-281, pp.86-94. (10.1016/j.physd.2014.04.011)
Recollision scenario without tunneling : Role of the ionic core potential
Physical Review Letters, 2014, 112 (13), pp.133003. (10.1103/PhysRevLett.112.133003)
Typical trajectories of coupled degrade-and-fire oscillators: From dispersed populations to massive clustering
Journal of Mathematical Biology, 2014, 68 (7), pp.1627-1652. (10.1007/s00285-013-0680-8)
Mixing properties in the advection of passive tracers via recurrences and extreme value theory
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2014, 90, pp.019902. (10.1103/PhysRevE.89.052901)
Passive Covert Radars using CP-OFDM SFN. Reference signal recovery from blind beamforming
2014
Pseudo-orbits, stationary measures and metastability
Dynamical Systems, 2014, 29 (3), pp.322-336. (10.1080/14689367.2014.890172)
