On Uniform Propagation of Chaos

TL;DR

This paper establishes uniform propagation estimates for systems of interacting diffusions with broad models, enabling applications in neuroscience and beyond, especially for complex internal dynamics.

Contribution

It provides a general framework for uniform propagation of chaos in interacting diffusions, relaxing linear decay assumptions and broadening potential applications.

Findings

Uniform propagation estimates derived for broad classes of interacting diffusions

Results applicable to complex models in neuroscience

Decays dominated by internal dynamics over interaction and noise

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.