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 |
Optimal bounds on correlation decay rates for nonuniform hyperbolic systems
2016
Flux through a Markov chain
Chaos, Solitons & Fractals, 2016, 93, pp.136 - 146. (10.1016/j.chaos.2016.10.006)
Extreme Value Theory for Piecewise Contracting Maps with Randomly Applied Stochastic Perturbations
Stochastics and Dynamics, 2016, 16 (3), pp.1660015. (10.1142/S0219493716600157)
Study on creation and destruction of transport barriers via effective safety factors for energetic particles
Physics of Plasmas, 2016, 23 (12), pp.122510. (10.1063/1.4972092)
Reduced models accounting for parallel magnetic perturbations: gyrofluid and FLR-Landau fluid approaches
Journal of Plasma Physics, 2016, 82 (6), pp.705820601. (10.1017/S0022377816000921)
Statistical Properties of Random Dynamical Systems with Contracting Direction
Journal of Physics A: Mathematical and Theoretical, 2016, 49 (20), pp.204001. (10.1088/1751-8113/49/20/204001)
Hamiltonian reduced fluid model for plasmas with temperature and heat flux anisotropies
Theoretical and Mathematical Physics, 2016, 188 (3), pp.1377 - 1393. (10.1134/S0040577916090099)
Rare Events for the Manneville-Pomeau Map
Stochastic Processes and their Applications, 2016, 126 (11), pp.3463-3479 (10.1016/j.spa.2016.05.001)
Variational integrators for reduced magnetohydrodynamics
Journal of Computational Physics, 2016, 321, pp.435-458. (10.1016/j.jcp.2016.05.047)
Extremes and Recurrence in Dynamical Systems
Wiley Interscience, 2016, Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts, 9781118632192
