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Eric Luçon

17
Documents

Publications

Existence, stability and regularity of periodic solutions for nonlinear Fokker-Planck equations

Eric Luçon , Christophe Poquet
Journal of Dynamics and Differential Equations, 2022, ⟨10.1007/s10884-022-10148-z⟩
Article dans une revue hal-03280094v1

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

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
Image document

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

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

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

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
Image document

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

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

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

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
Image document

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