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arXiv · 2304.00706

Large deviations of reflected weakly interacting particle systems

Ping Cheng·Rong Wei·Tusheng Zhang
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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.

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Ping Cheng, Rong Wei, Tusheng Zhang. 2023-04-03. Large deviations of reflected weakly interacting particle systems. https://arxiv.org/abs/2304.00706

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