33 citations · 88 across the 14 of their papers we have counts for
16 papers
Physical blowups via buffered time change in a mean-field neural network
Nikolaos Papadopoulos, Thibaud Taillefumier
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…
Subthreshold moment analysis of neuronal populations driven by synchronous synaptic inputs
Logan A. Becker, Francois Baccelli, Thibaud Taillefumier
Even when driven by the same stimulus, neuronal responses are well-known to exhibit a striking level of spiking variability. In-vivo electrophysiological recordings also reveal a s…
A functional limit theorem for additive functionals
Thibaud Taillefumier, Gordan Zitkovic
We study a general limiting framework for the convergence of sequences of additive functionals of diffusions to Lévy subordinators, and provide explicit sufficient conditions that…
Exact analysis of the subthreshold variability for conductance-based neuronal models with synchronous synaptic inputs
Logan A. Becker, Baowang Li, Nicholas J. Priebe +2
The spiking activity of neocortical neurons exhibits a striking level of variability, even when these networks are driven by identical stimuli. The approximately Poisson firing of…
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.…
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…