Large deviations of reflected weakly interacting particle systems
Probability
2023-04-04 v1
Abstract
In this paper, we prove a large deviation principle for the empirical measures of a system of weakly interacting diffusion with reflection. We adopt the weak convergence approach. To make this approach work, we show that the sequence of empirical measures of the controlled reflected system will converge to the weak solution of an associated reflected McKean--Vlasov equation.
Cite
@article{arxiv.2304.00706,
title = {Large deviations of reflected weakly interacting particle systems},
author = {Ping Cheng and Rong Wei and Tusheng Zhang},
journal= {arXiv preprint arXiv:2304.00706},
year = {2023}
}