3 papers
math.PR2026
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…
math.AP2025
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…
q-bio.NC2025
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…