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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

Asch Joachim University faculty
+33.4.91.26.95.20 Email
Aschbacher Walter University faculty
+33.4.91.26.95.16 Email
CHEEMA Ammar Sabir PhD candidate
Email
CORDONNIER Aurélien PhD candidate
Email
Floriani Elena University faculty
+33.4.91.26.95.22 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
Pettini Marco University faculty
+33.4.91.26.95.49 Email
Vaienti Sandro University faculty
+33.4.91.26.95.44 Email
Vittot Michel Researcher
Chef du Groupe « Systèmes dynamiques classiques et quantiques »
+33.4.91.26.95.24 Email

List of Publications

243 results
Preprint, Working paper
Mathias Lechelon, Yoann Meriguet, Matteo Gori, Sandra Ruffenach, Ilaria Nardecchia, Elena Floriani, Anastasiia Kudashova, Dominique Coquillat, Frédéric Teppe, Sébastien Mailfert, Didier Marguet, Pierre Ferrier, Luca Varani, James Sturgis, Jeremie Torres, Marco Pettini
Experimental evidence for long-distance electrodynamic intermolecular forces
2021
Journal article
Elham Faraji, Roberto Franzosi, Stefano Mancini, Marco Pettini
Transition between random and periodic electron currents on a DNA chain
International Journal of Molecular Sciences, MDPI, 2021, 22 (14), pp.7361. ⟨10.3390/ijms22147361⟩
Preprint, Working paper
Elena Floriani, Jonathan Dubois, Cristel Chandre
Bogolyubov’s averaging theorem applied to the Kramers-Henneberger Hamiltonian
2021
Preprint, Working paper
Matteo Gori, Elena Floriani, Pettini Marco
Theoretical proposals for the experimental detection of electrodynamic interactions between biomolecules
2021
Journal article
Tommaso Alberti, Davide Faranda, Reik Donner, Theophile Caby, Vincenzo Carbone, Giuseppe Consolini, Berengere Dubrulle, Sandro Vaienti
Sub-proton range induced large-scale transitions in solar wind magnetic field
The Astrophysical journal letters, Bristol : IOP Publishing, 2021, 914:L6, pp.1-7. ⟨10.3847/2041-8213/ac0148⟩
Preprint, Working paper
Fabrizio Lillo, Giulia Livieri, Stefano Marmi, Anton Solomko, Sandro Vaienti
Analysis of bank leverage via dynamical systems and deep neural networks
2021
Preprint, Working paper
Jason Atnip, Gary Froyland, Cecilia González-Tokman, Sandro Vaienti
Thermodynamic Formalism for Random Weighted Covering Systems
2021
Preprint, Working paper
Peyman Eslami, Ian Melbourne, Sandro Vaienti
Sharp Statistical Properties for a Family of Multidimensional NonMarkovian Nonconformal Intermittent Maps
2021
Preprint, Working paper
Jason Atnip, Nicolai Haydn, Sandro Vaienti
Extreme Value Theory with Spectral Techniques: application to a simple attractor
2021
Preprint, Working paper
Jason Atnip, Gary Froyland, Cecilia González-Tokman, Sandro Vaienti
Thermodynamic Formalism for Random Interval Maps with Holes
2021
243 results

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