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common noise 1integrate-and-fire neurons 1mckean-vaserov 1mean-field limit 1refractory period 1stochastic fokker-planck equation 1

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math.AP2026

A stochastic Fokker--Planck equation for the mean-field limit of a population of noisy integrate-and-fire neurons

Ben Hambly, Aldaïr Petronilia, Christoph Reisinger +1

The paper derives a stochastic Fokker‑Planck equation describing the membrane potential density of a large population of excitatory integrate‑and‑fire neurons with common noise, pr…