Delarue, F.; Inglis, J.; Rubenthaler, S.; Tanré, E. - In: Stochastic Processes and their Applications 125 (2015) 6, pp. 2451-2492
We discuss the construction and approximation of solutions to a nonlinear McKean–Vlasov equation driven by a singular self-excitatory interaction of the mean-field type. Such an equation is intended to describe an infinite population of neurons which interact with one another. Each time a...