Centre de Physique Théorique

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Dynamical Systems: Theory and Applications

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, especially the central limit theorem (CLT), the Almost Sure Invariance Principle, the large deviations and the distribution of rare events.
The rate of decay of correlations for non-uniformly hyperbolic systems is estimated through new techniques (coupling, renewal). Random systems (by random composition of maps acting on the same space) and sequential dynamical systems (non-stationary, or non-autonomous, processes where a concatenation of maps act on a space) are also studied. We have formulated and develop the extreme value theory for random and non-autonomous systems and with the extension to coupled map lattices.

Fusion plasma physics : We develop reduced Hamiltonian fluid and kinetic models from Dirac’s constraint theory to investigate fundamental mechanisms of turbulent magnetized plasma that deteriorate the confinement in tokamak devices. Spurious instabilities in non-Hamiltonian hybrid model for interaction of energetic particles with a thermal plasma are also investigated, as well as
secondary instabilities following magnetic reconnection. Another part of the research activity concerns the application of the theory of stochastic processes to study the formation of transport barriers in tokamaks.

Biophysics : We focus on the fundamental physical processes, in particular resonant electrodynamic forces acting at a long distance, which are surmised to be responsible of the high efficiency of the molecular machinery within living cells and long-range coherence in biological systems. This activity is pursued on both theoretical and experimental sides in collaboration with molecular biologists.

Complexity: New methods of measuring networks complexity are developed within the framework of Riemannian Information Geometry. Applications to protein interaction networks in cancer cells are being developed.

Directory of Members

Aschbacher Walter University faculty
+33.4.91.26.95.16 Email
Bui Olivier PhD candidate
Email
Caby Théophile PhD candidate
Email
Delliaux Stéphane Guest
Email
Floriani Elena University faculty
+33.4.91.26.95.22 Email
Gori Matteo Postdoctoral researcher
Email
Lechelon Mathias Postdoctoral researcher
Email
Leoncini Xavier University faculty
Référent pôle de recherche interdisciplinaire et intersectoriel AMU - Energie
Chef de l’équipe « Systèmes dynamiques : théories et applications »
+33.4.91.26.95.38 Email
Maestri Stefano PhD candidate
Email
Pettini Marco University faculty
+33.4.91.26.95.24 Email
Vaienti Sandro University faculty
+33.4.91.26.95.44 Email
Valvo Lorenzo PhD candidate
Email
Vittot Michel Researcher
Chef du Groupe « Systèmes dynamiques classiques et quantiques »
+33.4.91.26.95.24 Email
Wang Tianbo PhD candidate
Email

List of Publications

201 results
Preprint, Working paper
Theophile Caby
How would we see the world in Einstein's static universe?
2018
Preprint, Working paper
Sandro Vaienti, Michele Gianfelice, Tarek Rejeiba
Stochastic stability of the classical Lorenz flow
2018
Preprint, Working paper
D. Faranda, H. Ghoudi, P. Guiraud, Sandro Vaienti
Extreme value theory for synchronization of coupled map lattices
2018
Preprint, Working paper
Ilaria Nardecchia, Jeremie Torres, Mathias Lechelon, Valeria Giliberti, Michele Ortolani, Philippe Nouvel, Matteo Gori, Irene Donato, Jordane Preto, Luca Varani, James Sturgis, Marco Pettini
Out-of-equilibrium collective oscillation as phonon condensation in a model protein
2018
Preprint, Working paper
Giulio Pettini, Matteo Gori, Roberto Franzosi, Cecilia Clementi, Marco Pettini
On the origin of Phase Transitions in the absence of Symmetry-Breaking
2018
Preprint, Working paper
Simona Olmi, Matteo Gori, Irene Donato, Marco Pettini
Experimental detection of long-distance interactions between biomolecules through collective spectral properties of oscillating electric dipoles: a numerical study
2018
Journal article
D Dragicevic, G Froyland, C González-Tokman, Sandro Vaienti
A spectral approach for quenched limit theorems for random expanding dynamical systems
Communications in Mathematical Physics, Springer Verlag, 2018, 360 (3), pp.1121-1187. 〈10.1007/s00220-017-3083-7〉
Journal article
D Dragičević, G Froyland, Cecilia González-Tokman, Sandro Vaienti
Almost sure invariance principle for random piecewise expanding maps
Nonlinearity, IOP Publishing, 2018, 31 (5), pp.2252. 〈10.1088/1361-6544/aaaf4b〉
Journal article
Matteo Gori, Roberto Franzosi, Marco Pettini
Topological origin of phase transitions in the absence of critical points of the energy landscape
Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2018, 2018, pp.093204. 〈10.1088/1742-5468/aad6b6〉
Journal article
Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Sandro Vaienti
Extreme Value Laws for Sequences of Intermittent Maps
Proceedings of the American Mathematical Society, American Mathematical Society, 2018, 146 (5), pp.2103-2116. 〈10.1090/proc/13892〉
201 results

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