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 |
Emergence of a non trivial fluctuating phase in the XY model on regular networks
EPL - Europhysics Letters, 2013, 101, pp.10002. (10.1209/0295-5075/101/10002)
A multifractal mass transference principle for Gibbs measures with applications to dynamical Diophantine approximation
Proceedings of the London Mathematical Society, 2013, 107 (5), pp.1173-1219. (10.1112/plms/pdt005)
Extreme Value Statistics for Dynamical Systems with Noise
Nonlinearity, 2013, 26 (9), pp.2597-2622. (10.1088/0951-7715/26/9/2597)
Resonant long-range interactions between polar macromolecules
Physics Letters A, 2013, 377 (8), pp.587-591. (10.1016/j.physleta.2012.12.034)
Extensive bounds on the topological entropy of repellers in piecewise expanding coupled map lattices
Ergodic Theory and Dynamical Systems, 2013, 33 (3), pp.870-895. (10.1017/S0143385712000144)
Beam–plasma instability and fast particles: the Lynden-Bell approach
2013
A note on Borel--Cantelli lemmas for non-uniformly hyperbolic dynamical systems
Ergodic Theory and Dynamical Systems, 2013, 33, pp.475-498. (10.1017/S014338571100099X)
A recurrence-based technique for detecting genuine extremes in instrumental temperature records
Geophysical Research Letters, 2013, 40 (21), pp.5782-5786. (10.1002/2013GL057811)
Central Limit Theorems for the Shrinking Target Problem
Journal of Statistical Physics, 2013, 153, pp.864-887
Semaine d'Etude Mathématiques et Entreprises 5 : Reconstruction de couches géologiques à partir de données discrètes
2013
