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20072026
most citedPower-law statistics and universal scaling in the absence of criticality

232 citations

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math.AP2015★ 61 cited

On a kinetic FitzHugh-Nagumo model of neuronal network

Stéphane Mischler, Cristóbal Quiñinao, Jonathan Touboul

We investigate existence and uniqueness of solutions of a McKean-Vlasov evolution PDE representing the macroscopic behaviour of interacting Fitzhugh-Nagumo neurons. This equation i…

math.AP2007

Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain

Jonathan Touboul

In this article we study a controllability problem for a parabolic and a hyperbolic partial differential equations in which the control is the shape of the domain where the equatio…