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 |
Transition between random and periodic electron currents on a DNA chain
International Journal of Molecular Sciences, 2021, 22 (14), pp.7361. (10.3390/ijms22147361)
Heat flux in general quasifree fermionic right mover/left mover systems
Reviews in Mathematical Physics, 2021, 33 (06), pp.2150018. (10.1142/S0129055X21500185)
Theoretical proposals for the experimental detection of electrodynamic interactions between biomolecules
2021
Slow Invariant Manifolds of Slow–Fast Dynamical Systems
International journal of bifurcation and chaos in applied sciences and engineering , 2021, 31 (07), pp.2150112. (10.1142/S0218127421501121)
Small-scale Induced Large-scale Transitions in Solar Wind Magnetic Field
The Astrophysical Journal Letters, 2021, 914:L6, pp.1-7. (10.3847/2041-8213/ac0148)
Agent-Based Learning Model for the Obesity Paradox in RCC
Frontiers in Bioengineering and Biotechnology, 2021, 9, pp.642760. (10.3389/fbioe.2021.642760)
Minimal Universal Model for Chaos in Laser with Feedback
International journal of bifurcation and chaos in applied sciences and engineering , 2021, 31 (04), pp.2130013. (10.1142/S0218127421300135)
Energy transfer to the phonons of a macromolecule through light pumping
Scientific Reports, 2021, 11 (1), pp.6591. (10.1038/s41598-021-85856-5)
Dynamics and Darboux Integrability of the D2 Polynomial Vector Fields of Degree 2 in $\mathbb {R}^{3}$
Mathematical Physics, Analysis and Geometry, 2021, 24 (1), pp.1. (10.1007/s11040-020-09372-0)
On the destabilization of a periodically driven three-dimensional torus
Nonlinear Dynamics, 2021, 103 (2), pp.1969-1977. (10.1007/s11071-020-06174-5)
