Eric Luçon

Identifiants chercheurs

IdHAL :

eric-lucon

ORCID :

0000-0003-3269-1654

arXiv :

lucon_e_1

Publications

Article dans une revue (15)

Periodicity and longtime diffusion for mean field systems in $\mathbb{R}^d$ Eric Luçon,Christophe Poquet Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2025, 61 (4), ⟨10.1214/24-AIHP1508⟩ Article dans une revue hal-03280091v1
Central Limit Theorems for global and local empirical measures of diffusions on Erd\H{o}s-R\'enyi graphs Fabio Coppini,Eric Luçon,Christophe Poquet Electronic Journal of Probability, 2023, 28 (none), ⟨10.1214/23-EJP1038⟩ Article dans une revue hal-03895998v1
Interacting Hawkes processes with multiplicative inhibition Céline Duval,Eric Luçon,Christophe Pouzat Stochastic Processes and their Applications, 2022, 148, pp.180-226. ⟨10.1016/j.spa.2022.02.008⟩ Article dans une revue hal-03233710v1
Existence, stability and regularity of periodic solutions for nonlinear Fokker-Planck equations Eric Luçon,Christophe Poquet Journal of Dynamics and Differential Equations, 2022, 36 (1), pp.633-671. ⟨10.1007/s10884-022-10148-z⟩ Article dans une revue hal-03280094v1
Periodicity induced by noise and interaction in the kinetic mean-field FitzHugh-Nagumo model Eric Luçon,Christophe Poquet The Annals of Applied Probability, 2021, 31 (2), pp.561-593. ⟨10.1214/20-AAP1598⟩ Article dans une revue hal-01911080v1
Quenched asymptotics for interacting diffusions on inhomogeneous random graphs Eric Luçon Stochastic Processes and their Applications, 2020, 130 (11), pp.6783-6842. ⟨10.1016/j.spa.2020.06.010⟩ Article dans une revue hal-01936910v1
Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction, a slow-fast dynamics approach Eric Luçon,Christophe Poquet Communications in Mathematical Physics, 2019, 373, pp.907-969. ⟨10.1007/s00220-019-03641-y⟩ Article dans une revue hal-01817919v1
Long time dynamics and disorder-induced traveling waves in the stochastic Kuramoto model Eric Luçon,Christophe Poquet Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2017, 53 (3), pp.1196-1240. ⟨10.1214/16-AIHP753⟩ Article dans une revue hal-01148778v1
Quenched large deviations for interacting diffusions in random media Eric Luçon Journal of Statistical Physics, 2017, 166 (6), pp.1405-1440. ⟨10.1007/s10955-017-1719-9⟩ Article dans une revue hal-01355726v1
A note on dynamical models on random graphs and Fokker-Planck equations Sylvain Delattre,Giambattista Giacomin,Eric Luçon Journal of Statistical Physics, 2016, 165 (4), pp.785-798. ⟨10.1007/s10955-016-1652-3⟩ Article dans une revue hal-01355715v1
Transition from Gaussian to non-Gaussian fluctuations for mean-field diffusions in spatial interaction Eric Luçon,Wilhelm Stannat The Annals of Applied Probability, 2016, 26 (6), pp.3840-3909. ⟨10.1214/16-AAP1194⟩ Article dans une revue hal-01112656v1
Coherence Stability and Effect of Random Natural Frequencies in Populations of Coupled Oscillators G. Giacomin,E. Luçon,C. Poquet Journal of Dynamics and Differential Equations, 2014, 26 (2), pp.333-367. ⟨10.1007/s10884-014-9370-5⟩ Article dans une revue hal-01018542v1
Large time asymptotics for the fluctuation SPDE in the Kuramoto synchronization model Eric Lucon Journal of Functional Analysis, 2014, 266 (11), pp.6372-6417. ⟨10.1016/j.jfa.2014.03.008⟩ Article dans une revue hal-00686682v1
Mean field limit for disordered diffusions with singular interactions Eric Luçon,Wilhelm Stannat The Annals of Applied Probability, 2014, 24 (5), pp.1946-1993. ⟨10.1214/13-AAP968⟩ Article dans une revue hal-01492471v1
Quenched limits and fluctuations of the empirical measure for plane rotators in random media Eric Lucon Electronic Journal of Probability, 2011, 16 (26), pp.792-829. ⟨10.1214/EJP.v16-874⟩ Article dans une revue hal-00505381v1

Communication dans un congrès (1)

Large population asymptotics for interacting diffusions in a quenched random environment Eric Luçon Particle Systems and PDEs II, Dec 2013, Braga, Portugal. pp.231-251, ⟨10.1007/978-3-319-16637-7⟩ Communication dans un congrès hal-01022199v1

Pré-publication, Document de travail (2)

Neural Field Equations and Hawkes processes: long-term stability of traveling wave profiles in the neutral case Eric Luçon,Christophe Poquet 2025 Pré-publication, Document de travail hal-05185413v1
Local stability and rates of convergence to equilibrium for the Nonlinear Renewal Equation; applications to Hawkes processes Céline Duval,Eric Luçon 2025 Pré-publication, Document de travail hal-05416121v1

HDR (1)

Asymptotiques en grande population et temps long de perturbations aléatoires de modèles de champ moyen Eric Luçon Mathematics [math]. Université Paris Cité, 2024 HDR tel-04451781v1