Thèmes de recherche :

Systèmes de particules en interaction, chaînes hamiltoniennes, systèmes désordonnés, grandes déviations, applications en biologie.


Articles :

- E. Luçon and C. Poquet, Periodicity induced by noise and interaction in the kinetic mean-field FitzHugh-Nagumo model, arXiv:1811.00305, hal-01911080.
- E. Luçon and C. Poquet, Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction, a slow-fast dynamics approach, arXiv:1802.06410, hal-01817919.
- G. Giacomin, C. Poquet and A. Shapira, Small noise and long time phase diffusion in stochastic limit cycle oscillators, Journal of Differential Equations (2017), arXiv:1512.04436, hal-01301862.
- N. Cuneo and C. Poquet, On the relaxation rate of short chains of rotors interacting with Langevin thermostats, Electron. Commun. Probab., Volume 22 (2017), paper no. 35, 8pp, arXiv:1604.03408, hal-01301852 .
- E. Luçon and C. Poquet, Long time dynamics and disorder-induced traveling waves in the stochastic Kuramoto model, Ann. Inst. H. Poincaré Probab. Statist., 53 (2017), no. 3, 1196–1240, arXiv:1505.00497, hal-01148778.
- N. Cuneo, J.-P. Eckmann, and C. Poquet, Non-equilibrium steady state and subgeometric ergodicity for a chain of three coupled rotors, Nonlinearity 28 (2015), 2397–2421, arXiv:1411.0400.
- C. Poquet, Phase Reduction in the Noise Induced Escape Problem for Systems close to Reversibility, Stochastic Processes and their Applications, 124(10) (2014), 3312–3341, arXiv:1307.1369.
- G. Giacomin, E. Luçon and C. Poquet, Coherence stability and effect of random natural frequencies in populations of coupled oscillators, J. Dynamic. Differential Equations, 26 (2014), 333-367, arXiv:1111.3581.
- L. Bertini, G. Giacomin and C. Poquet, Synchronization and random long time dynamics for mean-field plane rotators, Probab. Theory Related Fields, 160 (2014), no. 3-4, 593–653, arXiv:1209.4537.
- G. Giacomin, K. Pakdaman, X. Pellegrin and C. Poquet, Transitions in active rotator systems: invariant hyperbolic manifold approach, SIAM J. Math. Anal. 44(6) (2012), 4165–4194, arXiv:1106.0758.


Actes de conférences :

- J. de Simoi, C. Liverani, C. Poquet and D. Volk, Fast–Slow Partially Hyperbolic Systems Versus Freidlin–Wentzell Random Systems, J Stat Phys (2016). doi:10.1007/s10955-016-1628-3., arXiv:1607.04319, hal-02071326v1.
- F. Bouguet, F. Malrieu, F. Panloup, C. Poquet and J. Reygner, Long time behavior of Markov processes and beyond, Esaim: Proceedings and Surveys 51 (2015), 193-211, arXiv:1507.05801.
- G. Giacomin, and C. Poquet, Noise, interaction, nonlinear dynamics and the origin of rhythmic behaviors, Braz. J. Probab. Stat. 29(2) (2015), 460-493.


Autres :

- Manuscrit de Thèse (soutenue le 08/10/2013), Modèle stochastiques interagissants: synchronisation et réduction à un système de phases, Pdf.


Slides :

(mettre les vidéos dans le même dossier que le pdf pour qu'elles puissent être lues dans le pdf)
- Colloque Jeunes Probabilistes et Statisticiens (2014) : Pdf, Video1, Video2.
- Conférence en l'honneur de Michel Pierre, ENS Rennes (2014) : Pdf, Video1, Video2, Video3, Video4.