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20072025
most citedA phase transition in the first passage of a Brownian process through a fluctuating boundary: implications for neural coding

33 citations · 88 across the 14 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.PR2022

Global solutions with infinitely many blowups in a mean-field neural network

Lorenzo Sadun, Thibaud Taillefumier

We recently introduced idealized mean-field models for networks of integrate-and-fire neurons with impulse-like interactions -- the so-called delayed Poissonian mean-field models.…

math.PR2022

Characterization of blowups via time change in a mean-field neural network

Thibaud Taillefumier, Phillip Whitman

Idealized networks of integrate-and-fire neurons with impulse-like interactions obey McKean-Vlasov diffusion equations in the mean-field limit. These equations are prone to blowups…