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 |
Chaos, Complexity and Transport
Xavier Leoncini; Marc Leonetti. Chaos, Complexity and Transport (CCT11), May 2011, Marseille, France. World Scientific, 2012, 978-981-4405-63-8
Non-commutative tomography: A tool for data analysis and signal processing
Journal of Russian Laser Research, 2012, 33 (2), pp.103-121. (10.1007/s10946-012-9265-z)
Pseudo-Anosov homeomorphisms on translation surfaces in hyperelliptic components have large entropy
Geometric And Functional Analysis, 2012, 22 (01), pp.74-106. (10.1007/s00039-012-0152-0)
Long-range resonant interactions in biological systems
2012
Numerical investigation of a three-dimensional four field model for collisionless magnetic reconnection
Communications in Nonlinear Science and Numerical Simulation, 2012, 17, pp.2085
Generalized Extreme Value distribution parameters as dynamical indicators of Stability
International journal of bifurcation and chaos in applied sciences and engineering , 2012, 22, pp.1250276. (10.1142/S0218127412502768)
Clustering in Cell Cycle Dynamics with General Response/Signaling Feedback
Journal of Theoretical Biology, 2012, 292, pp.103-115. (10.1016/j.jtbi.2011.10.002)
The mathematical structure of fluids and plasmas: a volume dedicate to the 60th birthday of Phil Morrison
Cristel Chandre; Jean-Luc Thiffeault; Emanuele Tassi. Elsevier, 17 (5), 2012, Special issue in Communications in Nonlinear Science and Numerical Simulation
Discontinuous generalized synchronization of chaos
Dynamical Systems: An International Journal, 2012, 27 (1), pp.105-116. (10.1080/14689367.2011.594787)
Metastability of Certain Intermittent Maps
Nonlinearity, 2012, 25, pp.107-124. (10.1088/0951-7715/25/1/107)
