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math.PR2016
Large Deviations of a Network of Neurons with Dynamic Sparse Random Connections
James MacLaurin
In this work we determine a process-level Large Deviation Principle (LDP) for a model of interacting particles indexed by a lattice . The connections are random, spar…
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…