论文标题

由$ g $ - 布朗尼运动驱动的向后随机微分方程的大偏差

Large deviations for backward stochastic differential equations driven by $G$-Brownian motion

论文作者

Dakaou, Ibrahim, Hima, Abdoulaye Soumana

论文摘要

在本文中,我们考虑了由$ g $ -Brownian Motion(简称$ G $ -FBSDES)驱动的前向后的随机微分方程,并带有小参数$ \ VAREPSILON> 0 $。我们研究向后方程解的渐近行为,并为相应过程建立一个较大的偏差原理。

In this paper, we consider forward-backward stochastic differential equation driven by $G$-Brownian motion ($G$-FBSDEs in short) with small parameter $\varepsilon > 0$. We study the asymptotic behavior of the solution of the backward equation and establish a large deviation principle for the corresponding process.

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