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arXiv · 1503.07807

On Uniform Propagation of Chaos

Jamil Salhi·James MacLaurin·Salwa Toumi
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Abstract

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 resulting from the internal dynamics term dominates the interaction and noise terms. The result should have diverse applications, particularly in neuroscience, and allows for models more elaborate than that of Wilson and Cowan, not requiring the internal dynamics to be of linear decay.

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Jamil Salhi, James MacLaurin, Salwa Toumi. 2015-03-26. On Uniform Propagation of Chaos. https://arxiv.org/abs/1503.07807

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