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math.AP2021
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…
math.PR2021
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…