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

Asch Joachim University faculty
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Aschbacher Walter University faculty
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Cordonnier Aurélien + Email
El Kettani Perla University faculty
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Floriani Elena University faculty
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Lebouazda Yohann PhD candidate
Leoncini Xavier University faculty
Référent pôle de recherche interdisciplinaire et intersectoriel AMU - Energie
Chef de l’équipe « Systèmes dynamiques : théories et applications »
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Pettini Marco University faculty
Correspondant Europe/International de l’INP
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Vaienti Sandro University faculty
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Vesperini Arthur PhD candidate
Vittot Michel Researcher
Chef du Groupe « Systèmes dynamiques classiques et quantiques »
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List of Publications

284 results
Preprint, Working paper
Jason Atnip, Gary Froyland, Cecilia González-Tokman, Sandro Vaienti
Thermodynamic Formalism and Perturbation Formulae for Quenched Random Open Dynamical Systems
Journal article
Anne-Sophie Pavaux, Flora Drouet, Jean-Louis Jamet, Jean-Marc Ginoux, Christophe Brach-Papa, Yanis Sindt-Baret, Veronique Lenoble, Dominique Jamet
Ecological succession of pico- and nanophytoplankton in a coastal bay of NW Mediterranean sea
Continental Shelf Research, In press, pp.104948. ⟨10.1016/j.csr.2023.104948⟩
Journal article
Sandro Vaienti, Sandro Gallo, Nicolai Haydn
Number of visits in arbitrary sets for $\phi$-mixing dynamics
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, In press
Journal article
Sandro Vaienti, Jason Atnip, Gary Froyland, Cecilia González-Tokman
Equilibrium states for non-transitive random open and closed dynamical systems
Ergodic Theory and Dynamical Systems, In press
Journal article
Aurélien Cordonnier, Xavier Leoncini, Guilhem Dif-Pradalier, Xavier Garbet
Full Self-Consistent Vlasov-Maxwell Solution
Physical Review E , In press
Journal article
Loris Di Cairano, Riccardo Capelli, Ghofrane Bel-Hadj-Aissa, Pettini Marco
Topological origin of protein folding transition
Physical Review E , 2022, 106 (5), pp.054134. ⟨10.1103/PhysRevE.106.054134⟩
Journal article
Perla El Kettani, Tadahisa Funaki, Danielle Hilhorst, Hyunjoon Park, Sunder Sethuraman
Mean Curvature Interface Limit from Glauber+Zero-Range Interacting Particles
Communications in Mathematical Physics, 2022, 394 (3), pp.1173-1223. ⟨10.1007/s00220-022-04424-8⟩
Conference paper
S. Ruffenach, M. Lechelon, Y. Meriguet, M. Gori, I. Nardecchia, E. Floriani, D. Coquillat, F. Teppe, S. Mailfert, D. Marguet, P. Ferrier, L. Varani, J. Sturgis, M. Pettini, J. Torres
THz spectroscopy to probe long-range electrodynamic interactions between proteins
2022 47th International Conference on Infrared, Millimeter and Terahertz Waves (IRMMW-THz), Aug 2022, Delft, France. pp.1-2, ⟨10.1109/IRMMW-THz50927.2022.9896089⟩
Conference paper
Sandra Ruffenach, Mathias Lechelon, Yoann Meriguet, Matteo Gori, Ilaria Nardecchia, Elena Floriani, Dominique Coquillat, Frédéric Teppe, Sebastien Mailfert, Pierre Ferrier, Luca Varani, James Sturgis, Didier Marguet, Marco Pettini, Jeremie Torres
Long-range electrodynamic interactions between proteins assessed by THz spectroscopy
Terahertz Emitters, Receivers, and Applications XIII, Aug 2022, San Diego, France. pp.122300H, ⟨10.1117/12.2641104⟩
Journal article
Matteo Gori, Roberto Franzosi, Giulio Pettini, Pettini Marco
Topological Theory of Phase Transitions
Journal of Physics A: Mathematical and Theoretical, 2022, 55 (37), pp.375002. ⟨10.1088/1751-8121/ac7f09⟩
284 results