In this talk, I will analyze a system of particles with singular interaction through hitting times. Such systems have been used in Neuroscience, but are also well suited for modeling Systemic Risk. I will discuss the latter application in detail and will proceed to the analysis of a large-population limit of the associated system. In particular, I will show how to establish the Propagation of Chaos for this system, and will provide insights into the behavior of the limiting process.

(This is a work in progress, joint with Misha Shkolnikov. Speaker(s): Sergey Nadtochiy (UM)