2 papers
math.PR2016
Mean Field Dynamics of a Network of Wilson-Cowan Neurons with Electrical Synapses
Jamil Salhi, James MacLaurin, Salwa Toumi
In this paper we prove the propagation of chaos property for an ensemble of interacting neurons subject to independent Brownian noise. The propagation of chaos property means that…
math.PR2015
On Uniform Propagation of Chaos
Jamil Salhi, James MacLaurin, Salwa Toumi
In this paper we obtain uniform propagation estimates for systems of interacting diffusions. We adopt a general model, satisfying various conditions which ensure that the decay res…