54 citations · 146 across the 9 of their papers we have counts for
10 papers
Central Limit Theorems for global and local empirical measures of diffusions on Erdős-Rényi graphs
Fabio Coppini, Eric Luçon, Christophe Poquet
We address the issue of the Central Limit Theorem for (both local and global) empirical measures of diffusions interacting on a possibly diluted Erdős-Rényi graph. Special attentio…
Existence, stability and regularity of periodic solutions for nonlinear Fokker-Planck equations
Eric Luçon, Christophe Poquet
We consider a class of nonlinear Fokker-Planck equations describing the dynamics of an infinite population of units within mean-field interaction. Relying on a slow-fast viewpoint…
Interacting Hawkes processes with multiplicative inhibition
Céline Duval, Eric Luçon, Christophe Pouzat
In the present work, we introduce a general class of mean-field interacting nonlinear Hawkes processes modelling the reciprocal interactions between two neuronal populations, one e…
Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction, a slow-fast dynamics approach
Eric Lucon, Christophe Poquet
We consider the long-time dynamics of a general class of nonlinear Fokker-Planck equations, describing the large population behavior of mean-field interacting units. The main motiv…
Quenched large deviations for interacting diffusions in random media
Eric Luçon
The aim of the paper is to establish a large deviation principle (LDP) for the empirical measure of mean-field interacting diffusions in a random environment. The point is to deriv…
A note on dynamical models on random graphs and Fokker-Planck equations
Sylvain Delattre, Giambattista Giacomin, Eric Luçon
We address the issue of the proximity of interacting diffusion models on large graphs with a uniform degree property and a corresponding mean field model, i.e. a model on the compl…
Transition from Gaussian to non-Gaussian fluctuations for mean-field diffusions in spatial interaction
Eric Luçon, Wilhelm Stannat
We consider a system of disordered mean-field interacting diffusions within spatial constraints: each particle is attached to one site of a periodic lattice and the…
Mean field limit for disordered diffusions with singular interactions
Eric Luçon, Wilhelm Stannat
Motivated by considerations from neuroscience (macroscopic behavior of large ensembles of interacting neurons), we consider a population of mean field interacting diffusions in $\m…
Large time asymptotics for the fluctuation SPDE in the Kuramoto synchronization model
Eric Lucon
We investigate the long-time asymptotics of the fluctuation SPDE in the Kuramoto synchronization model. We establish the linear behavior for large time and weak disorder of the que…
Coherence stability and effect of random natural frequencies in populations of coupled oscillators
Giambattista Giacomin, Eric Luçon, Christophe Poquet
We consider the (noisy) Kuramoto model, that is a population of N oscillators, or rotators, with mean-field interaction. Each oscillator has its own randomly chosen natural frequen…