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 |
Relaxation to the asymptotic distribution of global errors due to round off
Europhysics Lettres, 2010, 89, pp.40006
On the statistical distribution of first-return times of balls and cylinders in chaotic systems
International journal of bifurcation and chaos in applied sciences and engineering , 2010, 20 (6), pp.1845. (10.1142/S0218127410026897)
Un théorème de Kerckhoff, Masur et Smillie : unique ergodicité sur les surfaces plates
Y. Lacroix, P. Liardet, J.-P. Thouvenot. Ecole de théorie ergodique, Société Mathématique de France, pp.113-145, 2010, Séminaires et Congrès, vol. 20, 978-2-85629-312-6
Statistical properties of intermittent maps with unbounded derivative
Nonlinearity, 2010, 23 (5), pp.1071-1096
CHAOS, COMPLEXITY AND TRANSPORT: THEORY AND APPLICATIONS Preface
2010, (10.1016/j.cnsns.2009.05.052)
Strong field double ionization of H2 : Insights from nonlinear dynamics
Chemical Physics, 2009, 366 (1-3), pp.64. (10.1016/j.chemphys.2009.09.003)
Spatial chaos of traveling waves has a given velocity
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2009, 80, pp.025203(R)
Hamiltonian derivation of the Charney-Hasegawa-Mima equation
Physics of Plasmas, 2009, 16, pp.082301. (10.1063/1.3194275)
Strong field double ionization: What is under the ''knee''?
Journal of Physics B: Atomic, Molecular and Optical Physics, 2009, 42, pp.165602. (10.1088/0953-4075/42/16/165602)
Infinite sequence of fixed point free pseudo-Anosov homeomorphisms on a family of genus two surfaces
International Conference on Dynamical Numbers: Interplay Between Dynamical systems and Number Theory, Jul 2009, Bonn, Germany. pp.231-242
