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 |
Topological origin of protein folding transition
Physical Review E , 2022, 106 (5), pp.054134. (10.1103/PhysRevE.106.054134)
Mean Curvature Interface Limit from Glauber+Zero-Range Interacting Particles
Communications in Mathematical Physics, 2022, 394 (3), pp.1173-1223. (10.1007/s00220-022-04424-8)
THz spectroscopy to probe long-range electrodynamic interactions between proteins
Terahertz Emitters, Receivers, and Applications XIII, Aug 2022, Delft, Netherlands. pp.1-2, (10.1109/IRMMW-THz50927.2022.9896089)
Long-range electrodynamic interactions between proteins assessed by THz spectroscopy
Terahertz Emitters, Receivers, and Applications XIII, Aug 2022, San Diego, France. pp.122300H, (10.1117/12.2641104)
Generalized multistability and its control in a laser
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022, 32 (8), pp.083111. (10.1063/5.0093727)
Flow curvature manifold and energy of generalized Liénard systems
Chaos, Solitons & Fractals, 2022, 161, pp.112354. (10.1016/j.chaos.2022.112354)
Topological Theory of Phase Transitions
Journal of Physics A: Mathematical and Theoretical, 2022, 55 (37), pp.375002. (10.1088/1751-8121/ac7f09)
Singular limit of an Allen-Cahn equation with nonlinear diffusion
Tunisian Journal of Mathematics, 2022, (10.2140/tunis.2022.4.719)
Electrodynamic forces driving DNA-enzyme interaction at a large distance
2022
Rocard’s 1941 Chaotic Relaxation Econometric Oscillator
International journal of bifurcation and chaos in applied sciences and engineering , 2022, 32 (03), pp.2250043. (10.1142/S0218127422500432)
