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 |
Enhanced thermopower under time-dependent gate voltage
Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2011, 83 (15), pp.153417. (10.1103/PhysRevB.83.153417)
Controlling double ionization of atoms in intense bichromatic laser pulses
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2011, 83 (3), pp.036211. (10.1103/PhysRevE.83.036211)
The Ehrenfest wind-tree model: periodic directions, recurrence, diffusion
Journal für die reine und angewandte Mathematik, 2011, 656, pp.223-244
TOPOLOGICAL AND SYMBOLIC DYNAMICS FOR HYPERBOLIC SYSTEMS WITH HOLES
Ergodic Theory and Dynamical Systems, 2011, 31 (05), pp.1305-1323. (10.1017/S0143385710000556)
Mode signature and stability for a Hamiltonian model of electron temperature gradient turbulence
Physics of Plasmas, 2011, pp.032115
On the minimum dilatation of pseudo-Anosov homeromorphisms on surfaces of small genus
Annales de l'Institut Fourier, 2011, 61 (01), pp.105-144. (10.5802/aif.2599)
Offsprings of a point vortex
The European Physical Journal B: Condensed Matter and Complex Systems, 2011, 82, pp.173-178. (10.1140/epjb/e2011-10775-0)
Numerical convergence of the block-maxima approach to the Generalized Extreme Value distribution
Journal of Statistical Physics, 2011, 145 (5), pp.1156-1180. (10.1007/s10955-011-0234-7)
Does a billiard orbit determine its (polygonal) table?
Fund. Math., 2011, 212, pp.129-144. (10.4064/fm212-2-2)
Hamiltonian Chaos and Anomalous Transport in Two Dimensional Flows
A. C. Luo; V. Afraimovich. Hamiltonian Chaos Beyond the KAM Theory Dedicated to George Zaslavsky (1935-2008), 1, Springer; Higher Education Press, pp.143-192, 2011, Nonlinear Physical Science, 978-3-642-12717-5. (10.1007/978-3-642-12718-2_3)
