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most citedMicroscopic approach of a time elapsed neural model

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math.NA2020

Theoretical analysis and simulation methods for Hawkes processes and their diffusion approximation

Julien Chevallier, Anna Melnykova, Irene Tubikanec

Oscillatory systems of interacting Hawkes processes with Erlang memory kernels were introduced in Ditlevsen (2017). They are piecewise deterministic Markov processes (PDMP) and can…