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 |
Collective oscillations of proteins proven by terahertz spectroscopy in aqueous medium
44th International Conference on Infrared, Millimeter, and Terahertz Waves (IRMMW-THz), Sep 2019, Paris, France. pp.1-2, (10.1109/IRMMW-THz.2019.8873880)
Influence of Toroidal Flow on Stationary Density of Collisionless Plasmas
Fluids, 2019, 4 (3), pp.172. (10.3390/fluids4030172)
A Rigorous Scattering Approach to Quasifree Fermionic Systems out of Equilibrium
Journal of Non-Equilibrium Thermodynamics, 2019, 44 (3), pp.261-275. (10.1515/jnet-2018-0071)
Growth of a tree with allocations rules: Part 1 Kinematics
The European Physical Journal B: Condensed Matter and Complex Systems, 2019, 92 (7), pp.151. (10.1140/epjb/e2019-100111-5)
Lower Bounds for the Decay of Correlations in Non-uniformly Expanding Maps
Ergodic Theory and Dynamical Systems, 2019, 39 (7), pp.1936-1970. (10.1017/etds.2017.107)
Diffusion noise as a tool for in-vitro investigation of interacting biomolecules
25th International Conference on Noise and Fluctuations – ICNF 2019, C. Enz, Jun 2019, Neuchâtel, Switzerland. (10.5075/epfl-ICLAB-ICNF-269228)
Using the velocity auto-correlation function to characterize functional ”noise” in bio-molecules
25th International Conference on Noise and Fluctuations – ICNF 2019, C. Enz, Jun 2019, Neuchâtel, Switzerland. (10.5075/epfl-ICLAB-ICNF-269287)
On the origin of Phase Transitions in the absence of Symmetry-Breaking
Physica A: Statistical Mechanics and its Applications, 2019, 516, pp.376-392. (10.1016/j.physa.2018.10.001)
Non–equilibrium collective oscillations in biomolecules: towards Bose-Einstein condensation in organic matter?
21st International Conference on Electron Dynamics in Semiconductors, Optoelectronics and Nanostructures, 2019, Nara, Japan
Tailoring steep density profile with unstable points
Physics Letters A, 2019, 383 (1), pp.35-39. (10.1016/j.physleta.2018.09.014)
