标题： 多尺度分布依赖随机微分方程关于分数布朗运动的大偏差原理 显示英文标题

标题： Large deviation principle for multi-scale distribution dependent stochastic differential equations driven by fractional Brownian motions

摘要： 本文中，我们关注由分数布朗运动（Hurst指数为$H>\frac12$）和标准布朗运动同时驱动的多尺度分布依赖随机微分方程。我们的目标是为多尺度分布依赖随机微分方程建立一个大偏差原理。这是通过弱收敛方法完成的，我们的证明主要基于分数阶微积分。 显示英文摘要

摘要： In this paper, we are concerned with multi-scale distribution dependent stochastic differential equations driven by fractional Brownian motion (with Hurst index $H>\frac12$ and standard Brownian motion, simultaneously. Our aim is to establish a large deviation principle for the multi-scale distribution dependent stochastic differential equations. This is done via the weak convergence approach and our proof is based heavily on the fractional calculus.