64 citations · 195 across the 18 of their papers we have counts for
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math.PR2018★ 1 cited
Age Dependent Hawkes Process
Mads Bonde Raad, Susanne Ditlevsen, Eva Löcherbach
In the last decade, Hawkes processes have received a lot of attention as good models for functional connectivity in neural spiking networks. In this paper we consider a variant of…
math.PR2015
Multi-class oscillating systems of interacting neurons
Susanne Ditlevsen, Eva Löcherbach
We consider multi-class systems of interacting nonlinear Hawkes processes modeling several large families of neurons and study their mean field limits. As the total number of neuro…
math.PR2011★ 64 cited
The Morris-Lecar neuron model embeds a leaky integrate-and-fire model
Susanne Ditlevsen, Priscilla Greenwood
We show that the stochastic Morris-Lecar neuron, in a neighborhood of its stable point, can be approximated by a two-dimensional Ornstein-Uhlenbeck (OU) modulation of a constant ci…