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math.PR2026
On large networks of integrate-and-fire neurons with short-term synaptic plasticity
Quentin Cormier, Eva Löcherbach, Valentin Schmutz
This work studies the mean-field limit of large networks of interacting stochastic leaky integrate-and-fire (LIF) neurons subject to short-term synaptic depression (STD). The macro…
math.PR2024
Renewal theorems in a periodic environment
Quentin Cormier
We study a renewal problem within a periodic environment, departing from the classical renewal theory by relaxing the assumption of independent and identically distributed inter-ar…
math.PR2020★ 3 cited
A mean-field model of Integrate-and-Fire neurons: non-linear stability of the stationary solutions
Quentin Cormier
We investigate a stochastic network composed of Integrate-and-Fire spiking neurons, focusing on its mean-field asymptotics. We consider an invariant probability measure of the McKe…