Publications

Papers and preprints

  1. F. Coppini, E. Luçon, and C. Poquet, Central Limit Theorems for global and local empirical measures of diffusions on Erdős-Rényi graphs, ArXiv:2206.06655, 2022.
  2. E. Luçon and C. Poquet. Periodicity and longtime diffusion for mean field systems in $\mathbb{R}^d$. ArXiv:2107.02473, 2021.
  3. E. Luçon and C. Poquet. Existence, stability and regularity of periodic solutions for nonlinear Fokker- Planck equations, J. Dynam. Differential Equations, 2022.
  4. C. Duval, E. Luçon, and C. Pouzat. Interacting Hawkes processes with multiplicative inhibition. Stochastic Processes and their Applications, 148, 180-226, 2022.
  5. E. Luçon and C. Poquet. Periodicity induced by noise and interaction in the kinetic mean-field FitzHugh-Nagumo model, Ann. Appl. Prob., 31(2): 561-593, April 2021.
  6. E. Luçon. Quenched asymptotics for interacting diffusions on inhomogeneous random graphs. Stochastic Processes and their Applications, 130(11):6783–6842, Nov. 2020.
  7. E. Luçon, C. Poquet, Emergence of Oscillatory Behaviors for Excitable Systems with Noise and Mean-Field Interaction: A Slow-Fast Dynamics Approach. Commun. Math. Phys 373, 907–969, 2020.
  8. E. Luçon, Quenched large deviations for interacting diffusions in random media, J. Stat. Phys., 166, 1405–1440, 2017.
  9. S. Delattre, G. Giacomin and E. Luçon, A note on dynamical models on random graphs and Fokker-Planck equations, J. Stat. Phys., 165(4):785–798, 2016.
  10. E. Luçon and C. Poquet. Long time dynamics and disorder-induced traveling waves in the stochastic Kuramoto model, Ann. Inst. H. Poincaré Prob. Stat., 53(3):1196-1240, 2017.
  11. E. Luçon and W. Stannat. Transition from Gaussian to non-Gaussian fluctuations for mean-field diffusions in spatial interactions, Ann. Appl. Prob., 26(6):3840-3909, 2016.
  12. G. Giacomin, E. Luçon, and C. Poquet. Coherence Stability and Effect of Random Natural Frequencies in Populations of Coupled Oscillators. J. Dynam. Differential Equations, 26(2):333–367, 2014.
  13. E. Luçon and W. Stannat. Mean field limit for disordered diffusions with singular interactions. Ann. Appl. Probab., 24(5):1946–1993, 2014.
  14. E. Luçon. Large time asymptotics for the fluctuation SPDE in the Kuramoto synchronization model. Journal of Functional Analysis, 266(11):6372 – 6417, 2014.
  15. E. Luçon.Quenched limits and fluctuations of the empirical measure for plane rotators in random media. Electronic Journal of Probability, 16:792–829, 2011.

Proceedings

  1. Eric Luçon. Large population asymptotics for interacting diffusions in a quenched random environment. Particle Systems and PDEs II, Dec 2013, Braga, Portugal. Springer, 129, pp.231-251, Springer Proceedings in Mathematics & Statistics.
  2. Emmanuel Jacob, Éric Luçon, Laurent Ménard, Cristina Toninelli and Xiaolin Zeng, Interacting particle systems, ESAIM: Procs, 60:246-265, 2017.

Thesis manuscript

My thesis manuscript is available here: https://tel.archives-ouvertes.fr/tel-00709998