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 |
Crafting networks to achieve, or not achieve, chaotic states
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2015, 91 (4), pp.042809. (10.1103/PhysRevE.91.042809)
GEOMETRIC TWO-SCALE CONVERGENCE ON MANIFOLD AND APPLICATIONS TO THE VLASOV EQUATION.
Discrete and Continuous Dynamical Systems - Series S, 2015, Special Issue on "Numerical Methods Based on Two-Scale Convergence and Homogenization", 8 (1), pp 223--241
Nonlinear dynamics of ionization stabilization of atoms in intense laser fields
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2015, 91, pp.023406
On the apparent failure of the topological theory of phase transitions
2015
Investigating encounter dynamics of biomolecular reactions: long-range resonant interactions versus Brownian collisions
D. Fels; M. Cifra; F. Scholkmann. Fields of the Cell, Research Signpost, pp.215-228, 2015, 978-81-308-0544-3
Photon plasma–wave interaction via Compton scattering
Journal of Physics A: Mathematical and Theoretical, 2015, 48 (49), pp.495502. (10.1088/1751-8113/48/49/495502)
Energy-Casimir stability of hybrid Vlasov-MHD models
Journal of Physics A: Mathematical and Theoretical, 2015, 48, pp.185501. (10.1088/1751-8113/48/18/185501)
Topology driven modeling: the IS metaphor
Natural Computing, 2015, 14 (3), pp.421-430. (10.1007/s11047-014-9436-7)
Landau like theory for universality of critical exponents in quasistatioary states of isolated mean-field systems
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2015, 91 (6), pp.062108. (10.1103/PhysRevE.91.062108)
Early warnings indicators of financial crises via auto regressive moving average models
Communications in Nonlinear Science and Numerical Simulation, 2015, 29 (1-3), pp.233-239. (10.1016/j.cnsns.2015.05.002)
